Probability (More Difficult) Worksheet

1) 15 boys and 10 girls apply to go on a school trip. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

• 0.357

• 0.214

• 0.428

• 0.285

A bag contains 4 white, 5 red and 6 green balls. Three balls are drawn at random from the bag. The probability that all of them are green is:

The probability that two cards drawn together from a pack of 52 cards are one club and one spade is:

The probability that both cards drawn together from a pack of 52 cards have a red colored suit is:

Three unbiased coins are tossed. What is the probability of getting at most one tail?

• 1/2

• 1/4

• 3/8

• 7/8

How many even 4 digit numbers are there?

• 4500

• 5000

• 4000

• 9000

Jane and John are preparing for the SHSAT. Jane gets math problems correct 90% of the time and John gets them correct 70% of the time. What is the probability that exactly one of them gets any given problem correct?

• 0.51

• 0.63

• 0.27

• 0.42

8) Two numbers are selected from a hat containing 20 numbers 1 through 20. What is the probability that one number is not twice the other number selected?

• 0.89

• 0.95

• 0.75

• 0.80

15 boys and 10 girls apply to go on a school trip. Three students are selected at random. The probability that 1 girl and 2 boys are selected is: ________

• 21/46

• 15/46

• 10/46

• 25/46

A bag contains 4 white, 5 red and 6 green balls. Three balls are drawn at random from the bag. The probability that all of them are green is: ________

• 4/91

• 1/15

• 2/21

• 1/20