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

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Manager
Joined: 16 Oct 2016
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Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38
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WE: Pharmaceuticals (Health Care)
A fair coin is tossed 5 times. What is the probability that  [#permalink]

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26 Dec 2018, 00:47
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Difficulty:

15% (low)

Question Stats:

87% (01:06) correct 13% (00:52) wrong based on 23 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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Chasing the dragon

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Joined: 23 Dec 2012
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Re: A fair coin is tossed 5 times. What is the probability that  [#permalink]

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26 Dec 2018, 01:04
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
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2456
Re: A fair coin is tossed 5 times. What is the probability that  [#permalink]

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26 Dec 2018, 08:17

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.

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Re: A fair coin is tossed 5 times. What is the probability that &nbs [#permalink] 26 Dec 2018, 08:17
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