A coin is tossed three times. Find the probability of the following events:
(1) A: getting at least two heads,

(2) B: getting exactly two heads,

(3) C: getting at most one head,

(4) D: getting more heads than tails.

Question

Philoid · Accepted Answer

If a coin is tossed three times their will be 8 outcomes.

HHH, HHT, HTH, TTH,HTT, THT, THH, TTT

Now, favourable outcomes of event A i.e, getting at least two heads are HHH,HHT,HTH,THH

Number of favourable outcomes of event A = 4

Now, favourable outcomes of event B i.e, getting exactly two heads are HHT,HTH,THH

Number of favourable outcomes of event B = 3

Now, favourable outcomes of event C i.e, getting at most one head are TTH,HTT,THT,TTT

Number of favourable outcomes of event C = 4

Now, favourable outcomes of event D i.e, getting more heads than tails are HHH,HHT,HTH,THH

Number of favourable outcomes of event D = 4

Total number of outcomes = 8

(i) Probability of occurrence of event A = P(A)

P(A) = = 0.5

(ii) Probability of occurrence of event B = P(B)

P(B) = = 0.375

(iii) Probability of occurrence of event C = P(C)

P(C) = = 0.5

(iv) Probability of occurrence of event D = P(D)

P(D) = = 0.5

A coin is tossed three times. Find the probability of the following events:(1) A: getting at least two heads,(2) B: getting exactly two heads,(3) C: getting at most one head,(4) D: getting more heads than tails.