topic badge

5.08 Applications to probability

Interactive practice questions

A box contains 6 pens of different colours: red, green, blue, yellow, black and white. Two pens are drawn at random without replacement.

a

How many possible selections are there?

b

What is the probability of drawing the green and black pens?

Easy
2min

A newspaper editor is deciding which of $5$5 articles to print on the front page.

Easy
2min

A menu has three entrées ($E_1,E_2,E_3$E1,E2,E3), four mains ($M_1,M_2,M_3,M_4$M1,M2,M3,M4) and two desserts ($D_1,D_2$D1,D2). A meal is made up of one of each.

Easy
1min

A container contains twelve cards. The cards are marked with the numbers 1 to 12. From the container, five cards are drawn at random without replacement.

Easy
2min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

1.3.3.1

understand the notion of a conditional probability and recognise and use language that indicates conditionality

1.3.3.2

use the notation 𝑃(𝐴|𝐵) and the formula 𝑃(𝐴∩𝐵) =𝑃(𝐴|𝐵)𝑃(𝐵)

1.3.4.2

recognise and use the link between Pascal’s triangle and the notation (n r)

What is Mathspace

About Mathspace