A spinner can only land on red, blue or green. P(red) = 0.3 and P(blue) = 0.45. Find P(green).
(1)
2
A fair 10-sided die is numbered 1 to 10 and rolled once. Write P(rolling a multiple of 5) as a fraction.
(1)
3
A survey of 40 people found that 24 preferred tea. Estimate the probability that a randomly chosen person from the survey prefers tea. Give your answer as a decimal.
(1)
4
A bag has 15 counters, of which 9 are green. Write the probability of picking a green counter as a percentage.
(1)
5
A biased coin has P(Heads) = 0.55. Write P(Tails).
(1)
6
A raffle has 250 tickets. Ali buys 5 tickets. Write his probability of winning as a fraction in simplest form.
(1)
7
A spinner is divided into three sectors: red (144 degrees), blue (108 degrees) and the rest is green. Find P(green) as a fraction of the full 360 degree circle, giving your answer in simplest form.
(2)
8
A fair spinner has sectors: 1/2 red, 1/4 blue, and the rest yellow. Find P(yellow).
(2)
9
60 students were asked to name their favourite subject. 21 chose Maths, 15 chose Art, and the rest chose Science. Estimate the probability that a randomly selected student chose Science. Give your answer as a fraction in simplest form.
(2)
10
A bag contains only red and green counters. The probability of picking a green counter is 0.45. There are 80 counters in total. Find the number of green counters.
(2)
11
A fair coin is tossed and a fair 5-sided spinner numbered 1 to 5 is spun. Find P(coin shows Heads and spinner shows an odd number). Give your answer as a fraction.
(2)
12
A biased die has P(rolling a 6) = 0.3. The die is rolled twice. Find the probability that it shows a 6 both times. Give your answer as a decimal.
(2)
13
A car dealership sold 225 cars last month. 18 of the cars sold were electric. Find the probability, as a percentage, that a randomly chosen car sold last month was electric.
(2)
14
Two fair six-sided dice are rolled and the two scores are multiplied together. Find the probability that the product is 12. Give your answer as a fraction.
(2)
15
A garden centre recorded the colours of 150 tulip bulbs sold in a day: 45 were red, 60 were yellow, and the rest were pink.
(a)Find the relative frequency of a pink bulb being sold, giving your answer as a decimal.(1)
(b)Based on this data, estimate how many pink bulbs would be sold out of the next 500 bulbs sold.(2)
16
In a class of 32 students, 20 study Spanish (S) and 15 study German (G). 6 students study neither language. Find the number of students who study both Spanish and German, then find the probability that a randomly chosen student studies both.
(3)
17
A bag contains 7 red and 5 blue counters. Two counters are drawn at random, one after another, without replacement. Find the probability that the first counter is red and the second counter is blue. Give your answer as a fraction in simplest form.
(3)
18
Two smoothie machines break down independently. The probability the first machine breaks down on a given day is 0.15. The probability the second machine breaks down on the same day is 0.2.
(a)Find P(both machines break down on the same day).(1)
(b)Find P(neither machine breaks down on that day).(2)
19
A factory tests components from two independent production lines. The probability a component from line A is faulty is 0.08. The probability a component from line B is faulty is 0.05. One component is picked from each line. Find the probability that at least one of the two components is faulty.
(3)
20
Two fair six-sided dice are rolled and the two scores are multiplied together. Find the probability that the product is even. Give your answer as a fraction in simplest form.
(3)
Mark scheme · KS3.M-P1D Probability: Fluency and Exam Drill