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Standard Level

7.01 Conditional probability and independent events

Interactive practice questions

A number game uses a basket with $6$6 balls, all labelled with numbers from $1$1 to $6$6. $2$2 balls are drawn at random.

a

What is the probability that the ball labelled $3$3 is picked once if the balls are drawn with replacement?

b

What is the probability that the ball labelled $3$3 is picked once if the balls are drawn without replacement?

Easy
4min

A standard deck of cards is used and $3$3 cards are drawn out.

Easy
3min

A number game uses a basket with $9$9 balls, all labelled with numbers from $1$1 to $9$9. $3$3 balls are drawn at random, without replacement.

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
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