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A fair coin is tossed 5 times. What is the probability that

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A fair coin is tossed 5 times. What is the probability that  [#permalink]

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New post 26 Dec 2018, 01:47
1
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (01:10) correct 15% (01:24) wrong based on 30 sessions

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A fair coin is tossed 5 times. What is the probability that the fourth toss would turn a head?

A. \(\frac{1}{5P3}\)

B.\(\frac{1}{5P9}\)

C. \(\frac{1}{2}\)

D. \(\frac{1}{2!}\)

E. \(\frac{1}{2^3}\)

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Re: A fair coin is tossed 5 times. What is the probability that  [#permalink]

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New post 26 Dec 2018, 02:04
fitzpratik wrote:
A fair coin is tossed 5 times. What is the probability that the fourth toss would turn a head?

A. \(\frac{1}{5P3}\)

B.\(\frac{1}{5P9}\)

C. \(\frac{1}{2}\)

D. \(\frac{1}{2!}\)

E. \(\frac{1}{2^3}\)



The probability doesn't chnage its 50% with all turns
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Re: A fair coin is tossed 5 times. What is the probability that  [#permalink]

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New post 26 Dec 2018, 09:17

Solution



Given:
    • A fair coin is tossed 5 times

To find:
    • The probability that the fourth toss will be a head

Approach and Working:
We know for the toss of a fair coin,
    • Probability of a head = \(\frac{1}{2}\)
    • Probability of a tail = \(\frac{1}{2}\)

In case one fair coin is tossed multiple number of times, each of the outcomes are independent of the other outcomes.
Therefore, the probability of getting a head in the fourth toss = \(\frac{1}{2}\)

Hence, the correct answer is option C.

Answer: C

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Re: A fair coin is tossed 5 times. What is the probability that   [#permalink] 26 Dec 2018, 09:17
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