Download Probability(2)

Probability(2)
Statistics
1. Consider the numbers 2,3,4,8,10,17,21,23.
If one of these numbers is chosen at random find
a) p(even) b) p( multiple of 3) c) p(prime) d) p(multiple of 5)
2. The letters of the word MATHEMATICS are all placed separately
on cards and put in a bag.
One card is chosen at random from the bag. Calculate
a) p(M) b) p(not a vowel) c) p(S)
M
A
T
H
E
M
A
T
3. Two dice are thrown. Calculate
a) p(sum is 4) b) p(sum is less than 5)
I
C
S
4. A pack of cards. One card is drawn at random. Calculate
a) p(a club) b) p(king) c) p(10 of clubs)
d) p(red face card)
5. There are 3 separate bags.
In the first bag written on
separate cards are the letters B, C and P.
In the second bag are the letters O and A.
In the third bag are the letters T and N.
A letter is chosen from each bag in
turn (bag 1 first, then bag 2, then bag 3)
and a three letter word is formed taking
the letters in the order they were drawn.
List all the possibilities you can get.
What is the probability that an actual
‘English’ word will be formed.
B C P
O A
T N
6. The table shows the pupils in a small country Primary School.
Under 8 years old Over 8 years old
Boys
40
35
Girls
25
20
A pupil is to be chosen at random to represent
the school in a local quiz.
What is the probability that the pupil chosen is
a) A boy b) A girl c) A girl over 8 years old
d) A boy under 8 years old.
7. There are two bags A and B.
Bag A contains the numbered balls 1, 2 and 3.
Bag B contains the balls numbered 2, 3, 4, and 5 as shown in
the diagram.
1
2
2
3
Bag A
3
4
5
Bag B
A ball is drawn at random from each bag. List all the possible outcomes.
Calculate the probability that
a) The sum of the two balls is 4.
b) The sum of the two balls is less than 6.
8. The table shows the way in which pupils travel to school.
Car
Bus
Train
Walk
Boys
20
30
5
25
Girls
12
4
8
16
If a pupil is chosen at random in the school what is the probability that
The pupil is a boy.
The pupil is a girl who travels to school by car.
The pupil is a boy who walks to school.
9. The diagram shows the methods of transport available to
businessmen who regularly travel between
Aberdeen and London via Edinburgh.
train
Aberdeen
car
bus
train
Edinburgh
car
London
fly
For example a person can go by train from Aberdeen to
Edinburgh followed by car from Edinburgh to London or
he could go by bus from Aberdeen to Edinburgh
followed by flying from Edinburgh to London.
List all the different possible ways of getting from Aberdeen to London.
What is the probability that a car was used during the journey?