Toss 3 dice. What's the probability that a 4 will come up exactly twice?

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:

1; 35 is the ratio

step-by-step explanation: