You're viewing 1 free preview question for Maths AA HL — subscribe to unlock 9 more, plus the Full Question Bank, Mock Papers & Worksheets.Upgrade

Probability and Probability Distributions · Paper 3 — Free Maths AA HL Practice Questions

1ChallengeLAQBasic probability rules and conceptss7 marksPaper 3~11 min
Two fair six-sided dice, one red and one blue, are rolled. Let AA be the event that the sum of the two dice equals 77, and let BB be the event that the red die shows an even number.
(a)
Prove that events AA and BB are independent. The red die is now replaced by a biased die on which the probability of rolling each even number is twice the probability of rolling each odd number. The blue die remains fair. Let CC be the event that the sum of the two dice equals 88, and let DD be the event that the red die shows an even number. [4 marks]
(b)
(i) Find P(C)P(C). [3 marks]
(ii) Prove that events CC and DD are not independent. [3 marks]
diagram

Solutions

Questions 2-10

Unlock these questions with Premium

Sign Up →

That's every free question here — 1 of 10.

+9 more questions, plus Mock Papers & Worksheets, are waiting in Premium.

Upgrade