A coin is tossed 3 times. The probability of getting exactly 2 heads is

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Q: 43 (CAPF/2022)
A coin is tossed 3 times. The probability of getting exactly 2 heads is

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,8,6,2,8,3,1

The probability of getting exactly 2 heads when a coin is tossed 3 times can be obtained using combinatory probability. Firstly, possible outcomes in each toss are 2 (head or tail), so total outcomes when tossed 3 times are 2^3 = 8.

Now, the favorable outcomes of getting exactly 2 heads can be obtained in "("3 choose 2")" ways, also known as binomial coefficient, which is 3.

So, the probability is the ratio of favorable to total outcomes, which is 3/8 = 0.375.

Option 1, 13/13, and option 3, 12/12, both mean a probability of 1, which implies certainty. This would be incorrect as there are other possible outcomes too. Option 4, 58/58, also represents certainty and is wrong for the same reason.

Option 2, 38/38 could be a typo or mistake because 38/38 also represents certainty. But if it`s adjusted to 3/8, it matches our calculated probability.

Alert - correct answer should be "3/8".

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