Calculating discrete probability

Practice Questions

GMAT Quantitative Reasoning › Calculating discrete probability

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1

A coin is flipped seven times. What is the probability of getting heads six or fewer times?

2

A coin is flipped four times. What is the probability of getting heads at least three times?

3

Presented with a deck of fifty-two cards (no jokers), what is the probability of drawing either a face card or a spade?

4

Target

The upper semicircle of the above target has radius twice that of the lower semicircle.

A blindfolded woman throws a dart at random at the above target. Let be the probability that the dart lands inside a green region; let and be similarly defined for a red or yellow region. Which of the following is a true statement?

(Assume that skill is not a factor, and that the dart hits the target.)

5

Some balls are placed in a large box, which include one ball marked , two balls marked , and continuing up to balls marked .

What is the probability that a ball randomly drawn from this box will be marked with a prime number?

6

Some balls are placed in a large box, which include one ball marked "A", two balls marked "B", three balls marked "C", and so forth up to twenty-six balls marked "Z".

A ball is drawn at random. Give the odds against the ball being marked "I".

7

Some balls are placed in a large box, which include ball marked "A", balls marked "B", balls marked "C", and so on up to balls marked "Z".

A ball is drawn at random. Give the probability that the ball will be marked "O".

8

Some balls are placed in a large box; the balls include one ball marked "A", two balls marked "B", and so forth up to twenty-six balls marked "Z". A ball is drawn at random.

Given a particular letter of the alphabet, does the probability that that ball will be marked with that letter exceed ?

Statement 1: The letter appears in the word "lousy".

Statement 2: The letter appears in the word "skunk".

9

Pilar inserts the joker into a standard deck of 52 cards. By how much has she decreased the probability that a card drawn at random from the deck will be a diamond?

10

Marianna inserts the joker into a standard deck of 52 cards. By how much has she decreased the probability that a card drawn at random from the deck will be an ace?

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