Interactive practice questions
Given that $P\left(X\cap Y\right)=0.21$P(X∩Y)=0.21, $P\left(X\right)=0.3$P(X)=0.3, and that events $X$X and $Y$Y are independent:
| $Y$Y | $Y'$Y′ | |
|---|---|---|
| $X$X | $p$p | $r$r |
| $X'$X′ | $q$q | $s$s |
a
Find $P\left(Y\right)$P(Y).
b
State the value of $p$p.
c
Find the value of $q$q.
d
Find the value of $r$r.
e
Find the value of $s$s.
Easy
4 min
Consider the following probability Venn Diagram:
Easy
1 min
Three cards labelled $\editable{2}$2, $\editable{3}$3 and $\editable{4}$4 are placed face down on a table. Two of the cards are selected randomly. The outcomes are displayed in the following probability tree.
Easy
2 min
Students were asked what they are allergic to. The table shows the results.
If a student is chosen at random, what is the probability that they:
Medium
3 min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account