Discrete Probability

Practice Questions

GMAT Quantitative Reasoning › Discrete Probability

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1

A certain major league baseball player gets on base 25% of the time (once every 4 times at bat).

For any game where he comes to bat 5 times, what is the probability that he will get on base either 3 or 4 times? - Hint – add the probability of 3 to the probability of 4.

2

Some balls are placed in a large box; the balls include one ball marked "10", two balls marked "9", and so forth up to ten balls marked "1". A ball is drawn at random.

is an integer between 1 and 10 inclusive. True or false: the probability that the ball will have the number marked on it is greater than .

Statement 1: is a perfect square integer.

Statement 2:

3

Bronson has a box of 16 markers. The markers are green, red and yellow.

I) The number of green markers is twice the number of red markers

II) There are 4 yellow markers

What are the odds of pulling a yellow marker followed by a green marker followed by a red marker? (Assume no replacement.)

4

A bag contains red, yellow and green marbles. There are marbles total.

I) There are green marbles.

II) The number of yellow marbles is half of one less than the number of green marbles.

What are the odds of picking a red followed by a green followed by a yellow? Assume no replacement.

5

A certain major league baseball player gets on base 25% of the time (once every 4 times at bat).

For any game where he comes to bat 5 times, what is the probability that he will get on base either 3 or 4 times? - Hint – add the probability of 3 to the probability of 4.

6

A bag contains red, yellow and green marbles. There are marbles total.

I) There are green marbles.

II) The number of yellow marbles is half of one less than the number of green marbles.

What are the odds of picking a red followed by a green followed by a yellow? Assume no replacement.

7

Bronson has a box of 16 markers. The markers are green, red and yellow.

I) The number of green markers is twice the number of red markers

II) There are 4 yellow markers

What are the odds of pulling a yellow marker followed by a green marker followed by a red marker? (Assume no replacement.)

8

Some balls are placed in a large box; the balls include one ball marked "10", two balls marked "9", and so forth up to ten balls marked "1". A ball is drawn at random.

is an integer between 1 and 10 inclusive. True or false: the probability that the ball will have the number marked on it is greater than .

Statement 1: is a perfect square integer.

Statement 2:

9

Two dice are thrown; one is fair, one is loaded, but each has the usual numbers 1-6 on its faces. What is the probability of the outcome being a sum of 12?

Statement 1: The loaded die will come up 6 with probability .

Statement 2: The loaded die will come up 5 with probability .

10

In a standard deck of cards (4 suits, 13 cards of each suit) 3 cards have been removed. What are the odds of choosing one red card followed by 2 black cards? Assume replacement.

I) Two of the cards that were removed were black.

II) One of the removed cards was red.

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