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GATE-Biotechnology-2018-->View question

Consider an unfair coin. The probability of getting heads is 0.6. If you toss this coin twice, what is the probability that the first or the second toss is heads? (GATE-Biotechnology-2018)

Consider an unfair coin. The probability of getting heads is 0.6. If you toss this coin twice,what is the probability that the first or the second toss is heads?(A) 0.56 (B) 0.64 (C) 0.84 (D) 0.96 (GATE-Biotechnology-2018)

Asked On2019-04-11 13:07:47 by:naikaumprakash

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Step-by-step explanation:
Given :  The probability of getting heads is 0.6.
To Find: what is the probability that the first or the second toss is heads?
Solution:
Sum of al probabilities is 1
Since we are given The probability of getting heads is 0.6.
So probability of getting tail = 1-0.6=0.4
Since we are asked what is the probability that the first or the second toss is heads
total events  of tossing coins twice = {HH,HT,TH,TT}
Favorable events = {HH,HT,TH}
Thus the probability that the first or the second toss is heads = probability of(HH+HT+TH)=0.6*0.6+0.6*0.4+0.4*0.6 = 0.84
Thus Option C is correct 0.84

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