Two unbiased coins are tossed simultaneously. Find the probability of getting(i) two heads(ii) one tail(iii) at least one tail(iv) at most one tail(v) no tail

Engineering

Mathematics

Conditional Probability

Question

Two unbiased coins are tossed simultaneously. Find the probability of getting

(i) two heads

(ii) one tail

(iii) at least one tail

(iv) at most one tail

(v) no tail

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If two unbiased coins are tossed simultaneously, then the total outcomes may be HH, HT, TH, TT..

No. of total outcomes = 4

(i) two heads

favourable outcome for two heads are HH.

No. of favourable outcomes = 1

P(two heads) =

\frac{1}{4}

(ii) favourable outcome for one tail are TH, HT .

No. of favourable outcomes = 2

P(one tail) =

\frac{2}{4} = \frac{1}{2}

(iii) favourable outcome for at least one tail are are TH, HT, TT .

No. of favourable outcomes = 3

P(at least one tail) =

\frac{3}{4}

(vi) favourable outcome for at least one head are are TH, HT, HH .

No. of favourable outcomes = 3

P(at least one head) =

\frac{3}{4}

(v) favourable outcome for no tail are HH .

No. of favourable outcomes = 1

P(no tail) =

\frac{1}{4}

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