I have two questions, #21 and #23.

About 21, I know the sample is 6^4 = 1296, but I am not sure how to get the event.

About 23, I am not sure if I understand the question. I tried to solve it many times, but I cannot get the correct answer.

Could you help me?

Thanks,

Correct answers

#21: 1/24, #23: 22/120,

23. DC (C-1) LC-> 3 . 2- 1 1- 120 E- 1 14 ? ( 5 0 ) 10 - 9.8 3- 2 X'-32+2x 6 120 20 3 - 3x -+ 20 6 2(3 - 3x2 +2X = 6 XC = 3 3 houses are insured , but Z houses are not insured When all damaged houses are not insured, (3) 7 .6. 5 3 - 2 60 7 10. 98 24 3 . 2 2 3 421. If four fair die are rolled, what is the probability of obtaining two identical even numbers and two identical odd numbers. 22. An employer has 30 employees. There are 5 employees that are older than 60 and 25 employees that are 60 or younger. Two employees are selected at random. What is the probability that exactly one of the two selected employees is over 60? 23. In a neighborhood with 10 houses, k Iouses are not insured. A tornado randomly damages 3 ofthe houses. The probability that none of the damaged houses are insured is 1/120. Calculate the probability that at most one of the damaged houses is insured