Mathematics 9709 · AS & A Level · Discrete random variables
Discrete random variables — practice question
Hazeem keeps throwing two standard fair 6-sided dice together. Each time, the result is the total of the two numbers she gets.
(a)[2]
Find the probability that it takes exactly 5 throws of the two dice for Hazeem to obtain a score of $8$ or more.
(b)[2]
Find the probability that Hazeem takes no more than 4 throws of the two dice to get a score of $8$ or more.
(c)[3]
For $8$ throws chosen at random from the two dice, find the probability that Hazeem gets a score of $8$ or more on fewer than $3$ occasions.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies the binomial expression $(\frac{21}{36})^4(\frac{15}{36})$ or $(1-p)^4p$.” …