Probability

Rob and Karl each roll a die. The probability that Rob rolls an odd number and Karl rolls a number greater than 4 is ...

• 5/36

• 1/12

• 1/6

A box contains 4 red and 2 yellow tickets. Two tickets are randomly selected from the box one by one without replacement. The probability that the first is red and the second is yellow is ...

• 2/15

• 4/15

• 1/5

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

A hat contains tickets with the numbers 1, 2, 3, ..., 19, 20 printed on them. If 3 tickets are drawn from the hat, without replacement, determine the probability that they are all prime numbers.

• 0.0491

• 0.0420

• 0.064

The probabilities of W, X, Y and Z respectively are ....

• 0.31, 0.85, 0.15, 0.79

• 0.31, 0.79, 0.21, 0.85

• 0.31, 0.81, 0.15, 0.79

The Venn diagram listed above illustrates the number of students in a particular class who study Chemistry (C) and History (H). The probability that a randomly chosen student studies at least one of the subjects is ....

• 17/29

• 21/29

• 26/29

In the Venn diagram, U is the set of all 60 members of a club. The members indicate their liking for Chinese (C), Italian (I) and Thai (T) food.

A randomly chosen member is asked about their preferences. The probability that the member likes Thai food is ....

• 19/60

• 15/60

• 14/60

• 0.2

• 0.3

• 0.4

(a)  

On any day, the probability that a boy eats his prepared lunch is 0.5. The probability that his sister eats her lunch 0.6. The probability that the girl eats her lunch given that the boy eats his is 0.9. Determine the probability that the boy eats his lunch given that the girl eats hers.

(a)  

An automatic gate has a 95% chance of working on any particular day. Find the probability that it will be working on at least one of the next two days.

(a)