Question

A fair coin is tossed three times in a succession the sample space is shown where h represents a head and t represents a tail find the probability of getting exactly one tail

Answer 1

Answer:

The correct answer is $\frac{3}{8}$

Step-by-step explanation:

A fair coin is tossed three times in a succession the sample space is shown where h represents a head and t represents a tail.

Let the experiment A denote that we get exactly one tail in three successive toss of a coin.

Sample space = { hhh, hht, hth, thh, tth, tht, htt, ttt} = 8

Favorable sample = { hht, hth, thh } = 3

Probability of the A = $\frac{Favorable}{Total}$ = $\frac{3}{8}$ = 0.375.

Thus the probability of getting exactly one tail in three successive toss of a fair coin is given by 0.375

Answer 2

The probability of having exactly one head after tossing the coin three times is 3/8.

Data;

• head = h
• tail = t

The probability of exactly one tail

The probability of getting exactly one tail can be found from the sample space.

Sample space = { hhh, hht, hth, thh, tth, tht, htt, ttt} = 8

The number of exactly one tail here is 3

The probability of exactly one tail is

$P = \frac{3}{8}$

The probability of having exactly one head after tossing the coin three times is 3/8.

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