Afair coin is tossed three three times in succession. the set of equally likely outcomes is startset hhh comma hht comma hth comma thh comma htt comma tht comma tth comma ttt endset{hhh, hht, hth, thh, htt, tht, tth, ttt}. find the probability of getting exactly one tail.

Solution: We are given that a fair coin is tossed three times. The sample space associated with the three tosses of fair coin is:

We have to find the probability of getting exactly one tail.

From the above sample space, we clearly see there are three outcomes which  favors the probability of exactly one tail.

n( 1 tail) =

Therefore the probability of exactly one tail is

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

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step-by-step explanation: