A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning heads on the first toss, followed by two tails). The 8 outcomes are listed below. Assume that each outcome has the same probability. Complete the following. Write your answers as fractions. (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability HHH HHT HTH HTT THH THT TTH TTT ? Event A: Exactly two tosses are heads 0 0 0 0 0 0 0 Event B: Not all tosses are the same 0 0 0 □ □ 0 Event A and B: Exactly two tosses are 0 heads and not all tosses are the same (b) Suppose not all tosses are the same. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for 0 0 00

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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(b) Suppose not all tosses are the same. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for
Event A. Then, enter the probability that Event A occurs given that Event B occurs.
Outcomes given not all tosses are the same
HHT HTH HTT THH THT TTH
Probability
Event A: Exactly two tosses are heads
□
□
□
(c) Give the following probabilities and select the correct option below.
P(A and B)
P (B)
0
P(AB)
0
P(A and B)
P (B)
? P(A/B)
=
Olo
x
2.
Olo
Transcribed Image Text:(b) Suppose not all tosses are the same. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event A. Then, enter the probability that Event A occurs given that Event B occurs. Outcomes given not all tosses are the same HHT HTH HTT THH THT TTH Probability Event A: Exactly two tosses are heads □ □ □ (c) Give the following probabilities and select the correct option below. P(A and B) P (B) 0 P(AB) 0 P(A and B) P (B) ? P(A/B) = Olo x 2. Olo
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning heads on the first toss, followed by two tails).
The 8 outcomes are listed below. Assume that each outcome has the same probability.
Complete the following. Write your answers as fractions.
(a) Check the outcomes for each of the three events below. Then, enter the probability of each event.
Outcomes
Probability
HHH HHT HTH HTT THH THT TTH TTT
?
Event A: Exactly two tosses are heads
0
C
0
0
0 0
0
Event B: Not all tosses are the same
0
0
0
□
□
0
Event A and B: Exactly two tosses are
0
heads and not all tosses are the same
(b) Suppose not all tosses are the same. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for
0
00
Transcribed Image Text:A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning heads on the first toss, followed by two tails). The 8 outcomes are listed below. Assume that each outcome has the same probability. Complete the following. Write your answers as fractions. (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability HHH HHT HTH HTT THH THT TTH TTT ? Event A: Exactly two tosses are heads 0 C 0 0 0 0 0 Event B: Not all tosses are the same 0 0 0 □ □ 0 Event A and B: Exactly two tosses are 0 heads and not all tosses are the same (b) Suppose not all tosses are the same. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for 0 00
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