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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