Finding The Probability Of An Outcome

This is an MCQ-based quiz for GRE on How To Find The Probability Of An Outcome.

The probability of an event is the number of outcomes in the event divided by the number of possible, equally likely outcomes. For example, the probability of rolling an even number on a 6-sided die is 3/6 = 1/2.

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In a bowl containing 10 marbles, 5 are blue and 5 are pink. If 2 marbles are picked randomly, what is the probability that the 2 marbles will not both be pink?

7/9 5/6 2/9 7/8

Choose a number at random from 1 to 5.   Column A The probability of choosing an even number   Column B The probability of choosing an odd number

Column A and B are equal Column A is greater Column B is greater Cannot be determined

Two fair dice are thrown. What is the probability that the outcome will either total 7 or include a 3?

2/3 7/12 1/2 5/12 8/9

Box A has 10 green balls and 8 black balls.  Box B has 9 green balls and 5 black balls.  What is the probability if one ball is drawn from each box that both balls are green?

5/9 19/252 9/14 10/49 5/14

The probability that events A and/or B will occur is 0.88. Quantity A: The probability that event A will occur. Quantity B: 0.44.

Quantity B is greater. The two quantities are equal. Quantity A is greater. The relationship cannot be determined from the information given.

There are four aces in a standard deck of playing cards. What is the approximate probability of drawing two consecutive aces from a standard deck of 52 playing cards?

0.5 0.004 0.05 0.4 0.005

In a bag, there are 10 red, 15 green, and 12 blue marbles.  If you draw two marbles (without replacing), what is the approximate probability of drawing two different colors?

67.57% None of the other answers 25% 0.06% 33.33%

What is the probability of drawing 2 hearts from a standard deck of cards without replacement?

13/52 12/52 1/17 1/16 1/4

A high school has 200 students. 120 are male, 50 are upper division students, and 40 are upper division male students.  What is the probability of choosing a lower division female student, given the student is female?

7/20 7/8 7/15 2/5 1/4

Out of 25 dresses, 9 have defects. Of those 9 defective dresses, 6 have holes and 3 have rips. What is the probability that a randomly selected defective dress has a rip, given that it has a defect?

1/3 4/9 1/9 3/5 2/3

If you throw a die three times, what is the probability of getting a 1 on at least one of the three throws?

1/3 5/6 25/36 125/216 91/216

Every day is either rainy or sunny. Mondays are rainy with probability 3/5. Tuesdays are sunny with probability 1/4. Wednesdays are also sunny with probability 2/3. What is the probability that the weather is the same on Monday, Tuesday, and Wednesday?

13/60 1/15 1/8 15/19 3/20

16 dogs and 21 cats are up for adoption at the pound. 12 of these animals are brown and 19 are female. What is the probability of randomly selecting a brown animal?

12/19 12/37 16/19 19/37 Cannot be determined

There is a bag of 28 red balls and a bag of 12 blue balls. Quantity A: The total number of red and blue balls. Quantity B: The number of blue balls that you can pair with one red ball.

Quantity B is greater Quantity A is greater The relationship cannot be determined from the information given The two quantities are equal

A random variable  is normally distributed with a mean of 500 and a standard deviation of 20. A --- Probability of the event that    B ---

Quantity B is greater The two quantities are equal The relationship cannot be determined Quantity A is greater

A jar contains 10 red marbles, 4 white marbles, and 2 blue marbles. Two are drawn in sequence, not replacing after each draw.
Quantity A                                                               
The probability of drawing two red marbles    
Quantity B                        
The probability of drawing exactly one blue marble.

The quantities are equal.

Quantity A is greater.

Quantity B is greater.

The relationship cannot be determined from the information given.

a is chosen randomly from the following set:{3, 11, 18, 22}b is chosen randomly from the following set:{ 4, 8, 16, 32, 64, 128}

What is the probability that a + b = 27?

0.03

0.1

0.5

0.04

0.05

What is the probability of pulling 2 spades out of a standard deck of cards without replacement?

2/17

1/17

2/52

1/4

1/16

What is the probability of fliiping a coin 4 times and getting 2 heads.

1/16

1/8

1/64

1/2

3/8

A bag contains 4 blue marbles, 2 black marbles, 1 clear marble, and 3 red marbles. What is the probability of pulling out 3 red marbles without replacement?

3/10

1/120

1/27

1/1000

9/1000

Quiz/Test Summary
Title: Finding The Probability Of An Outcome
Questions: 20
Contributed by:
Diego