Two different coins are tossed simultaneously. Find the probability of getting :
(i) two tails
(ii) one tail
(iii) no tail
(iv) atmost one tail.

Question

Two different coins are tossed simultaneously. Find the probability of getting : (i) two tails (ii) one tail (iii) no tail (iv) atmost one tail.

KnowledgeBoat · Accepted Answer

When two different coins are tossed simultaneously, then sample space = {HH, HT, TH, TT}. It consists of 4 equally likely outcomes. Total number of possible outcomes = 4. (i) Let A be the event 'two tails', then A = {TT} and the number of outcomes favourable to the event A = 1. ∴ P(two tails) = . Hence, the probability of getting two tails = . (ii) Let B be the event 'one tail', then A = {HT, TH} and the number of outcomes favourable to the event B = 2. ∴ P(one tail) = . Hence, the probability of getting one tail = . (iii) Let C be the event 'no tail', then C = {HH} and the number of outcomes favourable to the event C = 1. ∴ P(no tail) = . Hence, the probability of getting no tail = . (iv) Let D be the event 'atmost one tail', then D = {HH, HT, TH} and the number of outcomes favourable to the event D = 3. ∴ P(atmost one tail) = . Hence, the probability of getting atmost one tail = .

Mathematics

Two different coins are tossed simultaneously. Find the probability of getting :
(i) two tails
(ii) one tail
(iii) no tail
(iv) atmost one tail.

Probability

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