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Keep the two dice ordered when checking event independence

Two fair dice, one white and one red, are thrown. Event A is that the white score is prime; event B is that the sum of the scores is 9.

(i) Find P(A∣B)P(A\mid B) and hence determine whether A and B are independent. marks

(ii) Event C is that the red score is a perfect square. Find P(B′∩C′)P(B'\cap C'). marks

[2014/RVHS/II/6]

CJC · Review problems · Question 6

Use the die colours to fix the order of each pair.

Read the worked solution