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.
Draw a tree diagram to illustrate all the possible outcomes.
How many different two-digit numbers can be formed.
What is the probability of obtaining a number less than $59$59?
What is the probability of obtaining an odd number?
What is the probability of obtaining an even number?
What is the probability of obtaining a number greater than $90$90?
What is the probability that the number formed is divisible by 5?
The Venn diagram shown shows the number of students in a school playing the sports of Rugby League, Rugby Union, both or neither.
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:
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.