Answer:
Step-by-step explanation:
The dice is rolled 3 times.
To find:
The probability that a 4 will come up exactly twice = ?
Solution:
Let 4 comes up exactly twice, let the third number be .
The possible outcomes can be:
(, 4, 4) where can be any number between 1 to 6 , so 6 outcomes.
(4, , 4) where can be any number between 1 to 6 , so 6 outcomes.
(4, 4, ) where can be any number between 1 to 6 , so 6 outcomes.
So, the total number of favorable outcomes possible = 6 + 6 + 6 = 18
Total number of outcomes that can be possible at roll of 3 dice:
6 6 6 = 216
Formula for probability of an event E is given as: