# probability of drawing card and throwing dice

Please show all work related to the correct answer.

1.) A = {1, 3, 5, 6}; B = {2, 3, 6, 7}; C = {6, 8, 9}

Find (A intersect B) union C

2.) Find the number of possible combinations of picking 2 items out of 6.

3.) How many permutations of answers are possible in a true-false test consisting of 10 questions?

4.) A meeting is to be addressed by 5 speakers, A, B, C, D, and E. In how many ways can the speakers be ordered if B cannot speak after A in any ordering?

5.) Calculate the probability of a number card (A, 2, 3, 4, 5, 6, 7, 8, 9, 10) being drawn from a deck of cards

6.) The Chicago Blackhawks hockey team has a probability of winning of 0.6 and a probability of losing of 0.25. What is the probability of a tie?

7.) Five names are put on a ballot in random order. What is the probability they are not in alphabetical order?

8.) For a 3-child family, find the probability of exactly 1 girl, given that the first child is a boy.

9.) If 2 cards are drawn from a regular deck of 52 cards without replacement, what is the probability that the second card is a queen? (Note: your final answer must be a single probability)

10.) A pair of fair dice is thrown 3 times. What is the probability that on the first toss the sum of the 2 dice is even, on the second toss the sum is less than 6, and on the third toss the sum is 7? (Note: your final answer must be a single probability)

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#### Solution Summary

The solution is comprised of detailed explanations of various probability problems, such as drawing card, throwing dice, probability of girl or boy in a family, etc.