Answer:
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
