Mathematics 9709 · AS & A Level · Continuous random variables
Continuous random variables — practice question
A biased die has faces numbered $1, 2, 3, 4, 5$ and $6$. The probabilities of obtaining odd numbers are all equal. The probabilities of obtaining even numbers are all equal. The chance of an odd number is twice the chance of an even number.
(i)[3]
Find the probability of rolling a $3$.
(ii)[3]
The die is thrown three times. Find the probability of obtaining two $5$s and one $4$.
(iii)[5]
The die is thrown $100$ times. Use an approximation to find the probability that an even number is thrown no more than $37$ times.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply $P(even)=2P(odd)$ or an equivalent rearrangement” …