Hong Kong
Stage 4 - Stage 5

# Conditional Probability - Sample Spaces

## Interactive practice questions

There are four cards marked with the numbers $2$2, $5$5, $8$8, and $9$9. They are put in a box. Two cards are selected at random one after the other without replacement to form a two-digit number.

a

Draw a tree diagram to illustrate all the possible outcomes.

b

How many different two-digit numbers can be formed.

c

What is the probability of obtaining a number less than $59$59?

d

What is the probability of obtaining an odd number?

e

What is the probability of obtaining an even number?

f

What is the probability of obtaining a number greater than $90$90?

g

What is the probability that the number formed is divisible by 5?

Easy
4min

The Venn diagram shown shows the number of students in a school playing the sports of Rugby League, Rugby Union, both or neither.

Easy
5min

Bag A contains $15$15 red marbles and $10$10 blue marbles, while bag B contains $20$20 red marbles and $25$25 blue marbles. If Eileen is to select a marble by first selecting a bag at random and then selecting a random marble from that bag:

Easy
6min

A pile of playing cards has $4$4 diamonds and $3$3 hearts. A second pile has $2$2 diamonds and $5$5 hearts. One card is selected at random from the first pile, then the second.

Easy
2min