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In: Statistics and Probability

A card is drawn at random from a deck of 52 cards. Find the probability that...

A card is drawn at random from a deck of 52 cards. Find the probability that the card is a seven or a spade.

A bag contains 7 green marbles, 5 blue marbles, and 3 yellow marbles. If a marble is randomly picked from the bag, find the probability that it is not blue.

Ten balls labeled with the numbers 1, 2, ..., 10 are in a bin. What is the probability that the numbers 8, 7, and 2 are drawn in that order from the bin if the ball selected is not returned to the bin before the next ball is selected.

What is the probability that Joseph, Anne, and Sue win the first, second, and third prizes, respectively, in a drawing if 20 people enter the contest and winning more than one prize is allowed?

Two cards are drawn at random from a deck of 52 cards without replacement. What is the probability that both cards are clubs?

Two cards are drawn at random from a deck of 52 cards with replacement. What is the probability that both cards are clubs?

What is the probability that a positive integer not exceeding 100 selected at random is divisible by 3 or 5?

A committee of 5 people is to be selected from a group of 10 people consisting of 3 men and 7 women. What is the probability that 2 men and 3 women are on the committee?

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5 th problem


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