Further probability - Intermediate & Higher tier test questions - WJEC

1

What is the probability of rolling a six-sided dice and getting an even number?

2

A bag contains 3 red balls, 2 pink balls and 7 black balls. What would be the probability of getting a pink ball?

3

Billy has a bag containing 9 red balls and 3 black balls. He also has a 6-sided dice. Billy selects a ball from the bag and rolls the dice. What is the probability that he gets a number less than 5 and a black ball?

4

Billy estimates that he has homework in English every 6 out of 10 lessons, and that he has homework for Maths every 3 out of 7 lessons. What is the probability that he has homework in both Maths and English?

5

Shan has a pack of playing cards. She knows that the probability of picking a club, spade, heart or diamond is \(\frac{1}{4}\) each. What is the probability that she selects either a heart, spade or diamond?

6

Claire’s favourite football team is Accrington Stanley FC. She estimates that the probability they win a match is \(\frac{7}{10}\), the probability they lose is \(\frac{1}{10}\) and the probability they draw is \(\frac{1}{5}\). What is the probability that they lose or draw?

7

Daniel has a bag containing 2 blue balls, 3 red balls and 4 yellow balls. He picks a ball at random, sets it aside and then picks another. What is the probability he picks two red balls?

8

What is the probability that Daniel selects a yellow ball and then a blue ball?

9

What is the probability that Daniel selects one ball that is yellow and one that is red (in any order)?

10

Which of the following events could be described by this probability tree?

A probability tree showing the probabilities for the first try and second try