Mathematics Middle School

The tree diagram shows the sample space of​ two-digit numbers that can be created using the digits 9​,2 1​​, and 8. What is the probability of choosing a number from the sample space that contains both 2 and 8​?

Answers

Answer 1

Answer:

Given :  the sample space of​ two-digit numbers that can be created using the digits 9,7,1, and 8.

To Find : probability of choosing a number from the sample space that contains both 7 and 8.

Solution:

TREE DIAGRAM

       9                    7                      1                    8

       ↓                     ↓                      ↓                  ↓

-------------------      ----------------    -----------------    ---------------

↓      ↓     ↓    ↓    ↓       ↓  ↓  ↓   ↓    ↓     ↓   ↓    ↓  ↓   ↓   ↓

9     7     1     8     9    7    1     8    9   7   1    8     9   7   1    8

Total Sample space  =  16

Contains both 7 and 8

is ( 7 , 8)  or ( 8 , 7)

Hence probability of choosing a number from the sample space that contains both 7 and 8.  =  2/16

= 1/8

= 12.5 %

Step-by-step explanation: I spent lots of time typing out and working out the answer to your question so please mark Brainliest because no matter what you are always the Brainliest of them all! Have a wonderful day!

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