Afair die will be rolled 9 times. what is the probability that 4, 5, or 6 is rolled exactly 2 times? round your answer to four decimal places.

Probability (4,5 or 6) exactly 2 outcomes= 6/54 or 0.1111

Step-by-step explanation:

Probability of the die to have ,4,= 1/6

Probability of the die to have ,5,= 1/6

Probability of the die to have ,6,= 1/6

It is rolled 9 times

Probability that 4 is rolled 2 times out of 9 outcomes =2/9

Probability that 5 is rolled 2 times out of 9 outcomes =2/9

Probability that 6 is rolled 2 times out of 9 outcomes =2/9

Probability of the die to have 4 in 2 outcomes of 9 rolls= 1/6 * 2/9= 2/54

Probability of the die to have 5 in 2 outcomes of 9 rolls= 1/6 * 2/9= 2/54

Probability of the die to have 6 in 2 outcomes of 9 rolls= 1/6 * 2/9= 2/54

Probability that 4,5, or 6 is rolled exactly two times= 2/54+2/54+2/54= 6/54= 0.1111

20 feet per second

hope i

-lavira : )