12. If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are picture cards. The probability is (Round to six decimal places as needed.)
12. If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are picture cards. The probability is (Round to six decimal places as needed.)
Transcribed Image Text:**Probability Exercises**
**7. Group Selection Problem**
A group consists of five men and seven women. Four people are selected to attend a conference.
- a. In how many ways can four people be selected from this group of twelve?
- b. In how many ways can four women be selected from the seven women?
- c. Find the probability that the selected group will consist of all women.
Fill in the blanks:
- a. The number of ways to select four people from the group of twelve is ______.
- b. The number of ways to select four women from the group of seven women is ______.
- c. The probability is ______. (Type an integer or a simplified fraction.)
**8. Lottery Probability**
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 41) and matching the number on the gold ball (1 through 33). If one ticket is purchased, what is the probability of winning the jackpot?
Fill in the blank:
- The probability of winning the jackpot with one ticket is ______. (Type an integer or a simplified fraction.)
**9. Defective Transistors**
A box contains 11 transistors, 5 of which are defective. If 5 are selected at random, find the probability of the statements below.
- a. The probability all are defective is ______. (Simplify your answer.)
- b. The probability none are defective is ______. (Simplify your answer.)
**10. City Council Selection**
A city council consists of eight Democrats and eight Republicans. If a committee of five people is selected, find the probability of selecting three Democrats and two Republicans.
Fill in the blank:
- The probability is ______. (Type a fraction. Simplify your answer.)
**11. Poker Hands from a Deck**
A hand consists of 5 cards from a well-shuffled deck of 52 cards.
- a. Find the total number of possible 5-card poker hands.
- b. A spade flush is a 5-card hand consisting of all spade cards. Find the number of possible spade flushes.
- c. Find the probability of being dealt a spade flush.
Fill in the blanks:
- a. There are a total of ______ poker hands.
- b. There are ______ possible spade flushes.
- c. The probability is ______. (Round to six decimal places as needed.)
**12. All Picture Cards**
If
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