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A coin is tossed twice. Find the probability that head is obtained each time. Given that the coin has only two possible outcomes H (heads) and T (Tails).

A coin is tossed twice. Find the probability that head is obtained each time. Given that the coin has only two possible outcomes H (heads) and T (Tails). Correct Answer 1/4

Given:

A coin is tossed twice

Formula used:

Probability of an event E, P(E), is defined as

P(E) = (Number of outcomes favourable to E)/(Number of all possible outcomes of the experiment)

Calculation:
The sample space S for given statement is:
S = {(H,T),(H,H),(T,H),(T,T)}
Let E be the event "head is obtained each time".
∴ E = {(H,H)}

Also, Total possible outcomes = 4
P(E) = n(E) / n(S) = 1 / 4

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