Question

1. A person draws 5 cards from a shuffled pack of cards. Find the probability that the person has at least 3 aces. Find the probability that the person has at least 4 cards of the same suit.

2. Two cards are drawn from a pack, without replacement. What is the probability that both are greater than 2 and lesser than 8.

3. A permutation of the word "white" is chosen at random. Find the probability that it beings with a vowel. Also find the probability that it ends with a consonant.

4. A dice is tossed 5 times. Find the probability that we will have 4 of a kind.

5. Find the probability that a leap year will have 53 Sundays.

6. Two cards are drawn from a deck of cards. If the first card is an ace of spades, find the probability that the second card is a ace.

7. A pair of dice are thrown. Given that the first dice shows 4, find out the probability that the total of both the dice is greater than 7.

8. One bag contains 4 red balls and 3 black balls, and the second bag contains 3 white balls and 7 red balls. Exactly one ball is drawn from the second bag at random and placed in the first bag. What is the probability that the ball now drawn from the first bag is a red ball?

9. Two cards are drawn at random from deck of cards. If the first card is a red card, find the probability that the second card is a Jack.

10. Find the probability of randomly selecting 4 good cans of milk from a cooler, which has 20 cans of milk with 5 spoiled cans.

11. The probability of Kevin being alive in 20 years is 0.7 and the probability that Anne is alive after 20 years is 0.9. If we assume that both events are independent. Find the probability hat both are not alive after 20 years.

12. The probability that a person visiting a dentist will have an X-ray is 0.6; the probability that a person who has had an X-ray will also have a cavity is 0.3; the probability that a person who has had an X-ray and has a cavity filled will also have his tooth extracted is 0.1. Find the probability that a person visiting a dentist will have an X-ray and a cavity filled and also have his tooth extracted.

Answer 1