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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​?

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Holaid0222aidn

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 %

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