MEDIUM
AS and A Level
IMPORTANT
Earn 100

Weiqi has two fair triangular spinners. The sides of one spinner are labelled 1,2,3, and the sides of the other are labelled 2,3,4. Weiqi spins them simultaneously and notes the two numbers on which they come to rest. Find the probability that these two numbers differ by 1.

Important Questions on The Binomial and Geometric Distributions

MEDIUM
AS and A Level
IMPORTANT
Weiqi has two fair triangular spinners. The sides of one spinner are labelled 1,2,3, and the sides of the other are labelled 2,3,4. Weiqi spins them simultaneously and notes the two numbers on which they come to rest. Weiqi spins both spinners simultaneously on 15 occasions. Find the probability that the numbers on which they come to rest do not differ by 1 on exactly eight or nine of the 15 occasions.
EASY
AS and A Level
IMPORTANT

A computer generates random numbers using any of the digits 0,1,2,3,4,5,6,7,8,9. The numbers appear on the screen in blocks of five digits, such a50119 26317 40068.......Find the probability that: there are no 7 s in the first block

EASY
AS and A Level
IMPORTANT

A computer generates random numbers using any of the digits 0,1,2,3,4,5,6,7,8,9. The numbers appear on the screen in blocks of five digits, such a50119 26317 40068.......Find the probability that: the first zero appears in the first block

EASY
AS and A Level
IMPORTANT

A computer generates random numbers using any of the digits 0,1,2,3,4,5,6,7,8,9. The numbers appear on the screen in blocks of five digits, such a50119 26317 40068.......Find the probability that: the first 9 appears in the second block.

EASY
AS and A Level
IMPORTANT
Four ordinary fair dice are rolled. In how many ways can the four numbers obtained have a sum of 22 ?
MEDIUM
AS and A Level
IMPORTANT
Four ordinary fair dice are rolled. Find the probability that the four numbers obtained have a sum of 22 ?
HARD
AS and A Level
IMPORTANT
Four ordinary fair dice are rolled. The four dice are rolled on eight occasions. Find the probability that the four numbers obtained have a sum of 22 on at least two of these occasions.
MEDIUM
AS and A Level
IMPORTANT
When a certain driver parks their car in the evenings, they are equally likely to remember or to forget to switch off the headlights. Find the probability that on the next 16 occasions that they park their car in the evening, they forget to switch off the headlights: 14 more times than they remember to switch them off