Respuesta :
Answer:
The correct answer is [tex]\frac{3}{8}[/tex]
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 = [tex]\frac{Favorable}{Total}[/tex] = [tex]\frac{3}{8}[/tex] = 0.375.
Thus the probability of getting exactly one tail in three successive toss of a fair coin is given by 0.375
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
[tex]P = \frac{3}{8}[/tex]
The probability of having exactly one head after tossing the coin three times is 3/8.
Learn more on probability here;
https://brainly.com/question/24756209
