Question

Keyshawn is bowling in a competition. He has a 26% chance of getting a strike each time he bowls. What is the probability that keyshawn gets a strike

Answer 1

Considering Keyshawn getting a strike as a Success(S) and not getting a strike as failure(F), we can find probability that keyshawn gets a strike.

Probability of Success= 26%

Probability of failure = (100 -26)%= 74 %

Probability that keyshawn gets a strike= S + F S +F F S + F F F S+.......

    = S× [ 1 +F + F²+F³+........+ infinity]

This is an infinite geometric series,having common ratio F, whose sum to infinity is given by $\frac{\text{First term}}{1-\text{Common ratio}}$

    = $S\times \frac{1}{1-F}\\\\ \frac{26}{100} \times \frac{1}{1-\frac{74}{100}}=1$