Page 159 - NUMINO Challenge_D2
P. 159
Answer
Key
Number of Outcomes placed in the tens place and 2 numbers that can
be placed in the ones place. Therefore there are
3 3 2 18 number of outcomes.
10 Probability p.86~p.87
Problem solving
Example 3, 4, 5 1, 2, 3, 4, 5, 5
1 Class Vice Class Vice Class Vice Class Vice
TryItAgain There are six outcomes for each number of President President President President President President President President
pips, and there is one outcome for rolling a
3. Thomas Susie Susie Susie
Susie Lisa TShuosmieas Lisa Lisa ThSousmieas Mike TShuosmieas
Mike Mike Mike Lisa
Number of outcomes of rolling a 3 1 There are 6 outcomes where Susie can be
chosen as the class president or vice president:
Total number of outcomes 6 Susie Thomas, Thomas Susie, Thomas Lisa,
Thomas Mike, Lisa Thomas, and Mike
Example 2 2 2 3, 2, 6 Thomas.
Type 10-1 Number of Outcomes with Order p.88~p.89 2 Orange Yellow Green
Yellow Green Yellow
1 Since 0 cannot be placed in the hundreds place, Red Green Orange Green
the digits that can be placed in the hundreds Green Orange
place are 3, 5, and 7. Orange Yellow
Yellow Orange
2 If 3 is in the hundreds place, the 3-digit numbers
that can be made are 305, 307, 350, 357, 370, There are 3 2 1 6 outcomes to have a red
and 375. marble on the first pick, and six outcomes for
each color. Therefore, the number of outcomes
3 If 5 is in the hundreds place, the 3-digit numbers is 6 4 24.
that can be made are 503, 507, 530, 537, 570,
and 573. Type 10-2 Probability of Simultaneous Events p.90~p.91
4 If 7 is in the hundreds place, the 3-digit numbers 1 Let p represents the probability of having A, then
that can be made are 703, 705, 730, 735, 750,
and 753. the probability of not having A is
5 To find the number of outcomes with order, first (1 p). The probability of not having rain the day
find the numbers that can be placed in the
hundreds place as in , , and . Then after a rainy day is , and then 1 1,
arrange the numbers in order that meet the 4
conditions. Therefore, there are 18 numbers 3
that can be made, which are 305, 307, 350, 357, 4 .
370, 375, 503, 507, 530, 537, 570, 573, 703,
705, 730, 735, 750, and 753. Using another Therefore, the probability is 3 .
method, there are 3 numbers that can be placed 4
in the hundreds place, 3 numbers that can be
2 1 , , 3 , 1 , 1
16 4 3 4
NUMINO Challenge D2
Key
Number of Outcomes placed in the tens place and 2 numbers that can
be placed in the ones place. Therefore there are
3 3 2 18 number of outcomes.
10 Probability p.86~p.87
Problem solving
Example 3, 4, 5 1, 2, 3, 4, 5, 5
1 Class Vice Class Vice Class Vice Class Vice
TryItAgain There are six outcomes for each number of President President President President President President President President
pips, and there is one outcome for rolling a
3. Thomas Susie Susie Susie
Susie Lisa TShuosmieas Lisa Lisa ThSousmieas Mike TShuosmieas
Mike Mike Mike Lisa
Number of outcomes of rolling a 3 1 There are 6 outcomes where Susie can be
chosen as the class president or vice president:
Total number of outcomes 6 Susie Thomas, Thomas Susie, Thomas Lisa,
Thomas Mike, Lisa Thomas, and Mike
Example 2 2 2 3, 2, 6 Thomas.
Type 10-1 Number of Outcomes with Order p.88~p.89 2 Orange Yellow Green
Yellow Green Yellow
1 Since 0 cannot be placed in the hundreds place, Red Green Orange Green
the digits that can be placed in the hundreds Green Orange
place are 3, 5, and 7. Orange Yellow
Yellow Orange
2 If 3 is in the hundreds place, the 3-digit numbers
that can be made are 305, 307, 350, 357, 370, There are 3 2 1 6 outcomes to have a red
and 375. marble on the first pick, and six outcomes for
each color. Therefore, the number of outcomes
3 If 5 is in the hundreds place, the 3-digit numbers is 6 4 24.
that can be made are 503, 507, 530, 537, 570,
and 573. Type 10-2 Probability of Simultaneous Events p.90~p.91
4 If 7 is in the hundreds place, the 3-digit numbers 1 Let p represents the probability of having A, then
that can be made are 703, 705, 730, 735, 750,
and 753. the probability of not having A is
5 To find the number of outcomes with order, first (1 p). The probability of not having rain the day
find the numbers that can be placed in the
hundreds place as in , , and . Then after a rainy day is , and then 1 1,
arrange the numbers in order that meet the 4
conditions. Therefore, there are 18 numbers 3
that can be made, which are 305, 307, 350, 357, 4 .
370, 375, 503, 507, 530, 537, 570, 573, 703,
705, 730, 735, 750, and 753. Using another Therefore, the probability is 3 .
method, there are 3 numbers that can be placed 4
in the hundreds place, 3 numbers that can be
2 1 , , 3 , 1 , 1
16 4 3 4
NUMINO Challenge D2
