Probability Problems/Questions, math homework help
1. A box contains 17 transistors, 3 of which are defective. If 3 are selected at random, find the probability that: a. All are defective. b. None are defective. Type a fraction and simplify.
2. A city council consists of 5 Democrats and 5 Republicans. If a committee of 4 people is selected, find the probability of selecting 2 Democrats and 2 Republicans. Type a fraction and simplify.
3. If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are queens. Round to six decimal places.
4. If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability of getting 3 queens and 1 king. Round to six decimal places.
5. You are dealt one card from a 52-card deck. Find the probability that you are not dealt a two. Type an integer or fraction and simplify.
6. You are dealt one card from a 52-card deck, find the probability that you not dealt a diamond. Type an integer or fraction and simplify
7. You randomly select one card from a 52-card deck. Find the probability of selecting a seven or a three. Type an integer or fraction and simplify.
8. You randomly select one card from a 52-card deck. find the probability a red five or a black three. Type an integer or fraction and simplify.
9. You randomly select one card from a 52-card deck. Find the probability of selecting the ace of clubs or the five of hearts. Type an integer or fraction and simplify.
10. The mathematics faculty at a college consists of 10 professors, 4 associate professors, 6 assistant professors, and 6 instructors. if one faculty member is randomly selected, find the probability of choosing a professor or an instructor. Type an integer or fraction and simplify
11. A single dice is rolled. Find the probability of rolling an even number or a number less than 4. Type an integer or a fraction and simplify.
12. You are dealt one card from a 52-card deck. Find the probability that you are dealt an eight or a black card. Type an integer or fraction and simplify.
