Cambridge Essentials Mathematics Core 7 S1.3 Homework

/ S1.3 Homework

1Arrange the following in order from the least likely to the most likely.

AScoring an even number from a single roll of a fair dice.

BScoring 3 from a single roll of a fair dice.

CSelecting a letter R at random from the word RADAR.

DMore than half your class is right-handed.

2Describe the chances of the following as better than even or less than even.

aA pupil in your class, chosen at random, owns a mobile phone.

bA volcano will erupt in the UK this year.

cA disc chosen at random from this set will be white.

dA letter chosen at random from the word MATHEMATICS will be a vowel.

3aHow many outcomes are there on this spinner?
bHow many of these outcomes are grey?
cFind the probability that the spinner lands on
igreyiinumber 4
iiiblackivwhite and even /

vany number other than 2viany colour other than grey

4aIf an event has a probability of 0, what does this mean?

bIf an event has a probability of ½, what does this mean?

5A school sells 200 red, 100 blue and 300 green raffle tickets.

aExplain why there is not an equal chance of each colour winning.

bWork out the probability of each colour winning.

Original material © Cambridge University Press 2008 / 1

Cambridge Essentials Mathematics Core 7 S1.3 Homework

6The minister for health predicts that the probability of a flu epidemic this year is 55%.

What is the probability that there will not be a flu epidemic?

7Phil, Steve and Dan are playing a game. They each have a bag of counters.

To win they must pick a blue counter from their bag.

B = blue Y = yellow

aSteve says they all have an equal chance of winning because they all have both blue and yellow counters in their bags.
Is he correct? Explain your answer.

bDan says he has the best chance of winning because he has the most blue counters.

Is he correct? Explain your answer.

cPhil says that they should each have an equal number of blue counters to make it fair.

Is he correct? Explain your answer.

dWhat is the probability that Phil picks a blue counter from his bag?

Give your answer as

ia fractioniia decimaliiia percentage

eWhat is the probability Steve picks a blue counter from his bag?

Give your answer as

ia fractioniia decimaliiia percentage

fWork out the probability that Dan picks a blue counter.

Give your answer as

ia fractioniia decimaliiia percentage

gWho has the best chance of picking a blue counter?
Explain your answer.

Original material © Cambridge University Press 2008 / 1