Page 155 - MAT KS3 Y8 Cambridge CheckPoint

15.3 Listing all possible outcomes

3 Shen throws two dice and adds the numbers together.
a What is the most likely possible total? b What is the least likely possible total?
Find the probability that the total will be:
c 2 d 7 e less than 7 f an odd number g a prime number.

4 Razi throws two dice. Find the probability that:
a the numbers are the same b the difference between the two numbers is 2.
5 Dakarai spins a coin and throws a dice. One possible outcome is a head and a 6.
a Show that there are 12 mutually exclusive outcomes and list them in a table.
b Find the probability of scoring:
i a tail and a 1 ii a head and an even number iii a tail and a 5 or a 6.

6 Alicia has two three-sided spinners.
One shows the numbers 1, 1, 3.
The other shows the numbers 2, 3, 5. 1 1 2 3 + 2 3 5
a Copy and complete the table to show 1
3 5
the total score of the two spinners. 1 4
b Find the probability of a total of:
i 3 ii 6 iii 5 or more iv an even number. 3 8

7 Oditi throws two dice and multiplies the scores together.
The product is the result of
a Draw a table to show the possible values of the product.
multiplying two numbers.
b How many different products are possible?
c Find the probability that the product is:
i 12 ii not 12 iii less than 12 iv more than 17 v an even number.
8 Hassan has four blue pens and a red pen in his pocket.
He takes out one without looking, and then he Second pen
takes another. B1 B2 B3 B4 R
a Copy and complete the table to show the possible
selections. First B1 X B1, B2
b Why are there Xs down the diagonal? pen B2 X
c Find the probability that:
i both pens are blue ii the first pen is red B3 X
iii one of the pens is red. B4 X

R X
The blue pens are labelled B1, B2, B3
and B4 to distinguish them.
B1, B2 means first B1 then B2.

9 Shen and Tanesha play ‘rock, paper, scissors’. They simultaneously make a sign for one of the items.
a Make a table to show the different possible outcomes.
b If each person chooses at random, what is the probability that they will not choose the same
thing?
c Rock beats scissors. Scissors beat paper. Paper beats rock. What is the probability Shen beats
Tanesha, if they play one game?

15 Probability 153