Download Year 10 Probability Test – Higher

Year 10 Probability Test – Higher
 Questions to be answered neatly on a separate piece of paper
 Show all of your working for each question – marks are given for workings
 Where appropriate, cancel down fractions to their simplest form
Q1
Find the following probabilities :
a) P(picking an ace from a pack of cards)
b) P(throwing a number greater than 4 on a dice)
Q2
A football team won 24 of its matches last season, drew 12 and lost 4. How
many of its next 10 matches do you think it will win, lose and draw.
Explain why you think using probabilities in this way can be inaccurate.
Q3
A bag contains 3 red balls and 7 green balls. A ball is picked out and replaced,
and then a second ball is picked out. Draw a tree diagram to show these
events and then calculate the following :
a) P(picking 2 red balls)
b) P(picking 2 balls of different colours)
Q4
Now repeat question 3 (including answering parts a) and b)), but this time the
first ball is not replaced.
Q5
A spinner with the colours red, green and blue on it (with an equal chance of
getting each colour) is thrown at the same time as a six-sided dice.
Draw a table to show all the possible outcomes and find the following :
a) P(a red and a six)
b) P(an even number and not green)
Q6
Find the following :
a) The probability that John is late for school is 0.3. The probability that
Richard is late is 0.5. If these events are independent, what is the
probability that they are both late.
b) What is the probability that neither are late.