Amy plays a game with an ordinary, fair dice.
If she rolls: 1 she wins, 2 or 3 she loses, 4, 5 or 6 she rolls again.
When she has to roll again: if she rolls an even number she wins
if she rolls an odd number she loses.
a) Work out the probabilities that should be
First roll
Second roll
placed at P, Q, R and S on the tree diagram.
Give your answers as fractions in the form a/b
P
Q
2 or 3
P:
Q:
R:
S:
R
even
4, 5 or 6
(1)
(1)
b) Work out the probability that Amy will win
and the probability she will lose.
Give your answers as fractions in the form a/b
S
odd
P(win) =
P(lose) =
(2)
(2)
Answers
Answer:
Ok so I’m stuck with this question too But I got the top part.
p=1/6
q=2/6
r=3/6
s=3/6
A) The probabilities placed at P, Q, R and S on the tree diagram are;
P = 1/6; Q = 1/3; R = 1/4; S = 1/4
B) The probabilities of her winning or losing is;
Probability that she will win = 5/12
Probability that she will lose = 7/12
A) From the given tree diagram, we can see that;At point P; Only 1 is rolled.
Since there are 6 possible numbers, then Probability at P = 1/6
At point Q; either 2 or 3 can be rolled.
Since there are 6 possible numbers, then Probability at Q = 2/6 = 1/3
At point R; 4,5, or 6 can be rolled on first roll.
Thus, Probability on first roll = 3/6
At R on second roll if she gets even, probability on second roll = 3/6
At S on second roll if she gets odd, probability on second roll = 3/6
Thus;
Overall probability at R = 3/6 × 3/6 = 1/4
Overall probability at S = 3/6 × 3/6 = 1/4
B) Probability that she will win are the probabilities at P and R.Thus, probability that she will win = 1/6 + 1/4 = 5/12
Probability that she will lose are the probabilities at Q and S.
Probability that she will lose = 1/3 + 1/4 = 7/12
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Related Questions
Select the procedure that can be used to show the converse of the Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet
Answers
Answer: B
Step-by-step explanation:
I got it on Aprx
The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle. Then the correct option is B.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet.
Then
5² = 3² + 4²
25 = 9 + 16
25 = 25
The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle.
Then the correct option is B.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
It’s in the picture please and thank you ^*
Answers
Answer:
38 degrees
Step-by-step explanation:
3x+2x+15+95+60=360
the sum of the angles of a quadrileteral=360
5x+170=360
5x=360-170
5x=190
x=190/5
x=38 degrees
What value of n makes the equation true?
Answers
Answer:
-0.7
Step-by-step explanation:
First do 3.2-1.8= 1.4. So now we know that -2n=1.4. Next you solve for n to get the answer of -0.7 with your answer of the third option.
Select ALL the correct answers,
Select the scenarios that correctly represent the given graph
1. The amount of money in an account decreases for a few months and then increases.
2. The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.
3. The sale of a product increases at first and then decreases.
4. The radioactivity of a substance decreases by 10% every year.
5. The speed of a car increases constantly by 10 miles per hour.
Answers
Option (2) and Option (3) is the correct answer .
Required Explaination :
Scenario 2 : The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.
The graph of this scenario is a downward parabola. Therefore option 2 is correct.Scenario 3 : The sale of product increases at first and then decreases.
The graph of this scenario is a downward parabola. Therefore option 3 is correct.Therefore, the correct options are 2 and 3.
find the measusre of the angles.
Answers
Answer:
1, 3, 5 =117
2, 4, 6, 7= 63
Step-by-step explanation:
Since we know that one angle is 117 degrees, 5, 1 and 3 will also be 117. 2, 4, 6 and 7 will also be the same. 117 plus 117 is 234. 63 + 63 = 126. 234+ 126 = 360.
What is the equation in point−slope form of the line passing through (−3, −4) and (0, 2)?
Use the table below to answer this question:
x y
0
2
1
−1
2
−6
Find the average rate of change for the given function from x = 0 to x = 2.
Answers
Answer:
The answer is A
Please help me with this Its kind of frustrating
Answers
Answer:
you have too see what makes 36, 42 ,48 and 27
Step-by-step explanation:
Which quadrilateral has two pairs of equal sides and each pair is a different length?
Answers
Answer:
rectangle hope it helpss
A restaurant has 100 tables and 28 of the tables seat 2 people and 72 of the tables seat 4. What percentage of the tables seat 4 people?
Answers
The starting annual salary for an office worker at a company is $29,000. If the company
awards an annual increase of 6.2%, which graph models this situation after the office worker
receives x annual increases?
Office Worker's Salary
Answers
Answer:
On my screen the answer would be A
Step-by-step explanation:
but it could be different for u but I found the answer on Quizizz picture down below
The graph models this situation after the office worker receives x annual increases is to be considered as an option A.
Calculation of the graph model;Since
The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%.
So, based on the given graph we can say that The graph models this situation after the office worker receives x annual increases is to be considered as an option A.
Learn more about graph here: https://brainly.com/question/24613103
When Jose woke up the temperature was 74°. It
reached a high temperature of 91°. What was
the percent of increase of these temperatures?
Answers
Answer:
22.97
Step-by-step explanation:
Given that,
Initial temperature = 74°
After some time, the new temperature = 91°
We need to find the percent increase in the temperature.
The formula for the percentage increase is given by :
[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{91-74}{74}\times100\\\\=22.97\%[/tex]
So, the increase in temperature is 22.97%.
You invested $1,000 in a savings account at the end of 7th grade. The account pays 5% annual interest. How much money will be in the account after 6 years? Round to the nearest hundredth. * 1 point
Answers
Step-by-step explanation:
1000 x .05= 50.
1000 + 50= 1050
1050 x 6= 6300
What number could be added to the product of (-7)(-6) so that the sum is equal to 272
Answers
Answer:
(-7)(-6)=42
272-42=230
Step-by-step explanation:
230 is the answer
Pythagorean Theorem Quiz.
1.) Find the unknown side length. Simplify answers that are radicals.
4
3
2.) Find the unknown side length. Simplify answers that are radicals.
16
12
Answers
Answer:
1.) 5 2.) 10.58
Step-by-step explanation:
For each one, you use the equation a^2 + b^2 = c^2 where c is the "hypotenuse"-- the side of the triangle opposite (facing) the right angle which is shown with a small box. The variables a and b do not matter, as long as they are the "legs", the other 2 sides.
So it is 4^2 + 3^2 = c^2 which simplifies to 16+9=25=c^2 and square root both sides and you get c=5
and 12^2 + b^2 = 16^2 which simplifies to 144+ b^2 = 256 and subtract 144 from both sides and you get b^2 = 112 and square root both sides and it is approximately 10.6 :)
What is the Factor: 24x - 60
Answers
12(2x-5)
good luckk
i hope i could help
A figure has been dilated from the origin by a scale factor of one seventh. if another dilation from the origin maps the dilated image back
onto the original figure, what is its scale factor?
Answers
Answer:
its scale factor is 3
Step-by-step explanation:
plz mark brainliest
To map the dilated image back onto the original figure, the scale factor needed is 7.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a factor.
If a figure is dilated from the origin by a scale factor of one seventh, it is given by:
(x, y) ⇒ [(1/7)x, (1/7)y]
To map the dilated image back onto the original figure, the scale factor needed is 7. Hence:
[(1/7)x, (1/7)y] ⇒ (x, y)
Find out more at: https://brainly.com/question/11707700
What is the solution to the system of equations? =6x=y=8 5x+3y = 29 (10,-2) (10, 2) O (2, 10) (-2, 10)
Answers
I need a little help on this.
Answers
Have a great day
Please help ASAP!! 20 points givin
Answers
Answer:
d or b
Step-by-step explanation:
quick math
Hope it helps :)
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!11
Cecilia records the weight change in her cat over 2 weeks. What number does she record as the total weight change for her cat?
LOOK AT THE ATTACHED PICTURE
Answers
Answer:
1 over 16
Step-by-step explanation:
(Pic provided)
243 is equivalent to...
0 35
94
28
3
Help I’m timed :(
Answers
243 is equivalent to 3^5
Hope that helps
Answer:
The answer is 3⁵
Step-by-step explanation:
3×3×3×3×3
9×9×3
81×3
243
35, 32, 29, 26… what is the 101st term?
Answers
Answer:
-277
Step-by-step explanation:
Answer:
-277?
Step-by-step explanation:
A
Yasmin buys 9 cakes for £10.71. How much does 1 cost?
B
Ben buys 5 pencils for 80p.how much does 1 cost?
C
Maya buys 6 chocolate bars for £3.12. How much does 1 cost?
Answers
Answer:
1.19 is the price for Yasmin.
16p is the cost for Ben.
0.52 is the cost for 1.
Step-by-step explanation:
Divide them all and you will get your answer.
I’m stuck again on this one
Answers
Answer:
8.7 cm
Step-by-step explanation:
Since all sides of the given shape are equal, so it is a cube.
So length of the diagonal of cube is give as:
[tex]l(diagonal) = l \sqrt{3} \\ \\ = 5 \times 1.732 \\ \\ = 8.66 \\ \\ l(diagonal) \approx8.7 \: cm[/tex]
1+1=? HHHHHHELP!!!!!!!
Answers
Answer:
2,thanks,for the points
Aubrey is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $4 each. How much total money would Aubrey have to pay for her family if she were to buy 3 snacks for everybody to share? How much would Aubrey have to pay if she bought x snacks for everybody to share?
Answers
Answer:
$51
Step-by-step explanation:
do 13*3 because of the 2 kids and the adult then add 12 because of the snacks
hope this helps
Answer:
51 and what?
Step-by-step explanation:
3 x 13 = 39 4 x 3 = 12
39 + 12 = 51
what is x supposed to be, sorry, i suck at variables
Could somebody pls help me with this question
Answers
in 3 hours it will be 18 minutes
Answer:
18 minutes is the answer
Step-by-step explanation:
•Time couple rested in 2 hrs = 12 min
•Time couple rested in 1 hr = 12/ 2 min = 6min
•Time couple rested in 3 hrs = 6×3 min = 18 min
HOPE IT HELPS YOU
MARK ME AS BRAINIEST
AND YOU CSN THANK ME IN THE COMMENT
What should be done so that the expression will have a value of 10?
12 - 2 + 22 ÷ 8
Add parentheses around 2 + 2.
Add parentheses around 12 - 2.
Add parentheses around 2 2 ÷ 8.
Nothing needs to be done.
Answers
Answer:
Add parentheses around 2 + 2.
Step-by-step explanation:
Is it the 1st one. I’m not to sure.
Answers
Answer:
Yes, it's the first one
Step-by-step explanation:
Since the number line is from 0 to 1 and it's divided into 6 sections, the correct answer is 1
Mark his brainly nowwww
Answers
Answer:
Mark who brainly when?
<3 id.k understand
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