Bag A contains three cards labelled 1, 4 and 7. Bag B contains two cards labelled 2 and 5. One card

Question

Bag A contains three cards labelled 1, 4 and 7. Bag B contains two cards labelled 2 and 5. One card is selected uniformly at random from each bag, independently. An outcome is the ordered pair (A label, B label). List all possible ordered outcomes.[1] Find the probability that the sum of the labels is 9 and the probability that their product is 20. State which event is more likely.[2] The possible sums are 3, 6, 9 and 12. A pupil says that each sum has probability one quarter because there are four sums. Explain why this is incorrect.[1]

Accepted Answer

(a) Six pairs listed in solution (b) $\dfrac13$, $\dfrac16$; sum 9 (c) Different sums have different numbers of equally likely outcomes.

Comparing two card events

Comparing two card events

Solution:

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