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28 Jan 2021, 13:21
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C
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Difficulty:
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Question Stats:
98% (00:33) correct
2%
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wrong
based on 125
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Danny, Doris and Dolly flipped a fair coin 5 times and each time the coin landed on “heads”. Dolly bet that on the sixth time the coin will land on “tails”, what is the probability that she’s right?
A. 1
B. 3/4
C. 1/2
E. 1/3
D. 1/4
A. 1
B. 3/4
C. 1/2
E. 1/3
D. 1/4
XSatishX
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28 Jan 2021, 19:28
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We are given that the coin landed on heads 5 times. Also, the coin is fair and for a fair coin, the probability of tails will be 1/2 for each flip as each flip is an independent event.
So for the 6th flip as well the probability that the coin will give tails is 1/2
Answer: C
So for the 6th flip as well the probability that the coin will give tails is 1/2
Answer: C
31 Jan 2021, 06:18
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Solution
Given
In this question, we are given that
- • A coin landed on “heads” on 5 consecutive flips
To find
We need to determine
- • The probability that the sixth flip will also result in “heads”
Approach and Working out
- • Since the coin is a “fair” coin, no matter how many times we flip it, the probability of it landing on “heads” will always be ½.
- o No past outcomes can affect this probability since each flip of the coin is an independent experiment.
o The result of each flip can be “heads” or “tails” with equal probability. (1/2 each)
Thus, option C is the correct answer.
Correct Answer: Option C
