Mathematics
Two coins are tossed once. Find the probability of getting :
(i) 2 heads
(ii) atleast one tail.
Probability
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Answer
When two different coins are tossed simultaneously, then sample space = {HH, HT, TH, TT}. It consist of 4 equally likely outcomes.
Total number of possible outcomes = 4.
(i) Let A be the event 'two heads', then A = {HH} and the number of outcomes favourable to the event A = 1.
∴ P(two heads) = .
Hence, the probability of getting two heads = .
(ii) Let B be the event 'atleast one tail', then B = {HT, TT, TH} and the number of outcomes favourable to the event B = 3.
∴ P(atleast one tail) = .
Hence, the probability of getting atleast one tail = .
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