Suppose we continually toss a fair coin until we observe both a head and a tail at least once. What is the probability that it will take exactly three tosses to observe this? 1/2 O 1/4 O 1/6 1/8 O O O O

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
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QUESTION 7
Suppose we continually toss a fair coin until we observe both a head and a tail at least once.
What is the probability that it will take exactly three tosses to observe this?
O 1/2
O 1/4
O 1/6
O 1/8
QUESTION 8
Suppose we roll 10d6 and observe that the number 6 appears three times.
What is the probability that it was the first three rolls that produced the number 6?
O 1/45
O 1/110
O 1/120
O 1/160
Transcribed Image Text:QUESTION 7 Suppose we continually toss a fair coin until we observe both a head and a tail at least once. What is the probability that it will take exactly three tosses to observe this? O 1/2 O 1/4 O 1/6 O 1/8 QUESTION 8 Suppose we roll 10d6 and observe that the number 6 appears three times. What is the probability that it was the first three rolls that produced the number 6? O 1/45 O 1/110 O 1/120 O 1/160
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