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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] New post  26 Dec 2018, 01:47
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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. \(\frac{1}{3}\)

E. \(\frac{1}{2^3}\)
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Re: A fair coin is tossed 5 times. What is the probability that [#permalink] New post  26 Dec 2018, 02:04
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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] New post  26 Dec 2018, 09:17
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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] New post  03 Oct 2022, 21:36
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We are given that A fair coin is tossed 5 times and we need to find What is the probability that the fourth toss would turn a head

Whenever we are given a fair coin then the probability of getting a head or a tail at any stage will always be equal to \(\frac{1}{2}\)

This number changes only when we are asked for something like, what is the probability of getting 3 heads in 6 tosses etc. But at each and every stage of the toss, provided it is a fair coin, the probability of getting a head or tail will always be = \(\frac{1}{2}\)

So, Answer will be C
Hope it helps!

Watch the following video to learn How to Solve Probability with Coin Toss Problems


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Re: A fair coin is tossed 5 times. What is the probability that [#permalink]
03 Oct 2022, 21:36
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