The correct option is C 18
When 3 unbiased coins are tossed simultaneously, the outcomes are{HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
Total number of outcomes = 8
Number of outcomes that favours all 3 heads = {HHH}=1
∴probability=18
Let p represents the probability of getting head in a toss of a coin.
So p=12
Let x denote the random variable representing the number of heads in 6 tosses of a coin.
Probability of getting r sixes in n tosses of a fair is given by,
px=r=6Cr12r126-r
Probability of getting three heads :
px=3=6C3123126-3=6!3!6-3!123 123=20× 126=20×126 =20×164 =516
Hence, the probability of getting three heads is 516
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What is the probability of getting 3 heads if 6 unbiased coins are tossed simultaneously?a)0.50.b)0.25.c)0.3125.d)0.6875.Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2022 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about What is the probability of getting 3 heads if 6 unbiased coins are tossed
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Total no. of events =2^6=64probability of getting 3 heads=6C3 ways 6!/(6-3)!3! =20probability =20/64. = 0.3125
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Updated On: 27-06-2022
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