Definitions, Sample Spaces, and Probability

A jar contains a mixture of 10 black balls, 8 red balls, and 2 white balls all the same size. What is the probability of drawing either a red, black, or white ball in one draw? 1 2 8 10

1

The numbers 2, 3, 4, and 5 are indicated on cards that are placed in a hat. Two cards are drawn at random, and the first card is replaced before the second card is drawn. The following table is a sample space of the possible outcomes. Use the sample space of possible outcomes to determine the following probabilities. Probability of drawing two odd numbers. The sum of the two numbers drawn is less than 5. The sum of the two numbers is less than 6 or greater than 8.

1. 1/4 2. 3/16 3. 6/16

One million people have equal chances of being called by telephone from a broadcasting show. Determine the probability of one particular person receiving a call.

1/1,000,000

The tickets in a box are numbered from 1 to 20 inclusive. If a ticket is drawn at random and replaced, and then a second ticket is drawn at random, what is the probability that the sum of their numbers is even? 1/2 1/4 1/5

1/2

If a child's knowledge of the alphabet is limited to the letters a, b, c, i, and e, and if the child writes two letters at random (assume the child may write the same letter twice), what is the probability that one is a vowel and the other is a consonant? 6/25 12/25 4/5

12/25

From 6 cards bearing the letters a, b, c, d, e, and f, two cards are drawn. Find the probability that at least one of the cards drawn bears a vowel. Note: (a, b) and (b, a) are considered to be different elements in the sample space. 2/15 3/5 5/9

3/5

The senior class is made up of 500 students: 300 boys and 200 girls. What is the probability of choosing a boy if the person is selected at random? 2/3 2/5 3/5

3/5

The sale of sports cars in the United States during one year was 550,000. Two hundred five thousand cars had six cylinders and the rest had four cylinders. What is the probability that the next sports car you see in the United States will have six cylinders? 69/110 41/110 401/1,100

41/110

A letter of the alphabet is chosen at random. Find the probability that the letter selected is a vowel. 1/26 5/26 21/26

5/26

A chairman is to be randomly selected from six people: A, B, C, D, E, and F. Find the probability that B is not selected. 1/6 5/6 0

5/6

Eight white balls and twenty black balls are in a bag. What is the probability of drawing a black ball in one draw? 1 2/5 5/7

5/7

The probability that an event will happen is . What is the probability that the event will not happen? 3/8 5/8 1

5/8

An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3. 3/50 3/10 8/25

8/25

The chances that it will rain tomorrow are 20%. What are the chances that it will not rain? 80% 20% 0%

80%

An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is not divisible by 2, 7, or 9. 9/25 13/50 16/25

9/25

If a child's knowledge of the alphabet is limited to the letters a, b, c, i, and e, and if the child writes two letters at random (assume the child may write the same letter twice), what is the probability that they are both vowels? 3/5 6/25 9/25

9/25