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Danny, Doris and Dolly flipped a fair coin 5 times and each time the
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28 Jan 2021, 12:21
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97% (00:32) correct 3% (00:33) wrong based on 145 sessions

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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
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Danny, Doris and Dolly flipped a fair coin 5 times and each time the
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28 Jan 2021, 18:28
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
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Danny, Doris and Dolly flipped a fair coin 5 times and each time the
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31 Jan 2021, 05:18

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

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Danny, Doris and Dolly flipped a fair coin 5 times and each time the
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05 Feb 2021, 14:22
Bunuel
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
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Solution:

Since the coin is a fair coin, the probability that it will land on tails (i.e., Dolly is right) is ½, regardless of the number of times it landed on heads before.

Answer: C

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Danny, Doris and Dolly flipped a fair coin 5 times and each time the
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20 Oct 2024, 08:51
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