Australia
10&10a
10.05 Solving problems with probability
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
4min
Consider the following probability Venn Diagram:
Easy
1min
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
2min
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
3min
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