Question
Asked Oct 30, 2019

A die is rolled, and two coins are flipped. The number on the die is doubled for each tail that comes up, and then recorded.

a. List all possible outcomes of this random experiment.

b. Assuming that the die and both coins are fair, determine the probability space.

check_circleExpert Solution
Step 1

As per the question, all the possible ...

Dice Coin 1
Number
Coin 2
Final
Outcome
Outcome
outcome
1
Н
т
1НТ
2
н
т
2HT
3
н
т
ЗнТ
6
4HT
4
н
т
5
н
т
5HT
10
бHТ
н
т
12
TH
1
Т
н
2
н
2TH
4
3
Т
н
ЗТН
6
4TH
4
н
5
н
5TH
10
Н
6TH
12
1
н
н
1НН
1
2
Н
н
2НН
2
Н
н
ЗНН
3
н
Н
4НН
5
н
н
5HH
5
6
н
Н
бНН
6
1
Т
т
1TT
2
т
2TT
3
Т
ЗTТ
12
4
т
4TT
16
STT
т
т
20
6
т
т
6TT
24
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Image Transcriptionclose

Dice Coin 1 Number Coin 2 Final Outcome Outcome outcome 1 Н т 1НТ 2 н т 2HT 3 н т ЗнТ 6 4HT 4 н т 5 н т 5HT 10 бHТ н т 12 TH 1 Т н 2 н 2TH 4 3 Т н ЗТН 6 4TH 4 н 5 н 5TH 10 Н 6TH 12 1 н н 1НН 1 2 Н н 2НН 2 Н н ЗНН 3 н Н 4НН 5 н н 5HH 5 6 н Н бНН 6 1 Т т 1TT 2 т 2TT 3 Т ЗTТ 12 4 т 4TT 16 STT т т 20 6 т т 6TT 24

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