Page 160 - NUMINO Challenge_D2
P. 160
3 When it rained on Wednesday, there is a Creative Thinking p.92~p.93
probability of a sunny day or a rainy day on
Thursday. To find the probability of a rainy day 1 Mary said that she may go somewhere, but she
on Friday, you need to add outcome 1 and won't do something. The probability of the
outcome 2 from . sentence "may go somewhere" being true is
Therefore, the probability is 1 1 5 . 50%, and the probability of the sentence "won't
16 4 16
do something" being true is 20%. Therefore, the
probability of Mary telling the
Problem solving truth is 50 20 1 10%.
100 100 10
1 To find the probability of having sunny days on 2 There are 2 shortest paths from A to B, and there
Monday and Tuesday, you need to multiply the are 3 shortest paths from B to C. Therefore, the
number of ways of taking the shortest path from
probability of having a sunny day on Monday A to C by passing through B is 2 3 6 ways.
and the probability of having a sunny day on
Tuesday. Therefore, the probability is
20 60 1 3 3 . 3 6 (1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)
100 100 5 5 25
5 (1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)
2 (Probability of Winning) 1 4 (1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)
2 3 (1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)
Day after 2 (1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)
(Probability of Losing) 1 1 (1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)
winning 2
Day after Probability of Winning 1
losing 3
123456
(Probability of Losing) 2
3
If two dice are rolled at the same time, there are
If is marked when Daniel won, and is 36 outcomes to have all the pairs of pips. shown
above. The pairs of pips that add up to 3 but are
marked when he lost, there can be two smaller than 7 are circled, and there are 20 such
pairs. Therefore, The probability of having the
outcomes as shown below sum of the pips 3 or smaller than 7 is
Date 9th 10th 11th
Outcome Number of outcomes of having the
1 sum of the pips 3 or smaller than 7
Total number of outcomes 20 5
36 9
Outcome
2
Therefore, the probability of winning the game
is 1 1 5
4 6 12 .
Answer Key
probability of a sunny day or a rainy day on
Thursday. To find the probability of a rainy day 1 Mary said that she may go somewhere, but she
on Friday, you need to add outcome 1 and won't do something. The probability of the
outcome 2 from . sentence "may go somewhere" being true is
Therefore, the probability is 1 1 5 . 50%, and the probability of the sentence "won't
16 4 16
do something" being true is 20%. Therefore, the
probability of Mary telling the
Problem solving truth is 50 20 1 10%.
100 100 10
1 To find the probability of having sunny days on 2 There are 2 shortest paths from A to B, and there
Monday and Tuesday, you need to multiply the are 3 shortest paths from B to C. Therefore, the
number of ways of taking the shortest path from
probability of having a sunny day on Monday A to C by passing through B is 2 3 6 ways.
and the probability of having a sunny day on
Tuesday. Therefore, the probability is
20 60 1 3 3 . 3 6 (1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)
100 100 5 5 25
5 (1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)
2 (Probability of Winning) 1 4 (1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)
2 3 (1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)
Day after 2 (1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)
(Probability of Losing) 1 1 (1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)
winning 2
Day after Probability of Winning 1
losing 3
123456
(Probability of Losing) 2
3
If two dice are rolled at the same time, there are
If is marked when Daniel won, and is 36 outcomes to have all the pairs of pips. shown
above. The pairs of pips that add up to 3 but are
marked when he lost, there can be two smaller than 7 are circled, and there are 20 such
pairs. Therefore, The probability of having the
outcomes as shown below sum of the pips 3 or smaller than 7 is
Date 9th 10th 11th
Outcome Number of outcomes of having the
1 sum of the pips 3 or smaller than 7
Total number of outcomes 20 5
36 9
Outcome
2
Therefore, the probability of winning the game
is 1 1 5
4 6 12 .
Answer Key
