Page 161 - NUMINO Challenge_D2

Answer
Key

4 The day after (Probability of a sunny day) 3 2 From the table shown above, there are 4
4 outcomes where the sum of the numbers rolled
a sunny day is 5, and 5 outcomes where it is 8.
(Probability of a rainy day) 1
The day after (Probability of a sunny day) 4
a rainy day 1
3 3 In this game, the probability of having 5 as the

(Probability of of a rainy day) 2 4
3 36
sum of the numbers rolled is , and the

If the day after a sunny day is marked with , probability of having 8 as the sum of the
and the day after a rainy day is marked with ,
there can be two outcomes as shown below. numbers rolled is 5 . The probability of having
36
1
8 as the sum is higher by 36 , therefore Sam has

Day Tuesday Wednesday Thursday the advantage. Therefore, this game is unfair.

Outcome 4 There are six outcomes of having 7 as the sum
1 of the numbers rolled. Therefore, choosing
number 7 gives an advantage of winning.
Outcome
2

Therefore, the probability of a sunny day on Problem solving

Thursday is 9 1 31 .
16 12 48
1 The table below shows the possible products of
11 A Fair Game p.94~p.95
the numbers rolled when two dice are rolled at

the same time.

Grace 1 2 3 4 5 6
Julie

Example 8, $4,000, $5,000, $6,000, $7,000, $8,000 1 123456

8, $4,500 $4,500 2 2 4 6 8 10 12

3 3 6 9 12 15 18

Example 10 9, 9, 9 9, 9, 9 4 4 8 12 16 20 24
28, 280,000, 2,800
5 5 10 15 20 25 30

6 6 12 18 24 30 36

Type 11-1 A Fair Die Game p.96~p.97 There are nine outcomes in which the product is

an odd number, so the probability is 9 . There
36

1 Anna are 27 outcomes in which the product is an even

1 2 3 4 5 6 number, so the probability is 27 .
Sam 36

1234567 Since the probability of having an even number is

2345678 higher, Julie has the advantage in winning the

game.

3456789

4 5 6 7 8 9 10

5 6 7 8 9 10 11

6 7 8 9 10 11 12

NUMINO Challenge D2