0.22 is the probability that Keyshawn doesn't get a strike until after his first five attempts.
Solution:
Given: Chance of getting a strike each time is [tex]26\%[/tex]
To find: The probability that Keyshawn doesn't get a strike until after his first five attempts.
Not striking on [tex]1^{st}[/tex] attempt = [tex]1-0.26=0.74[/tex]
Not striking on [tex]1^{st}[/tex] and [tex]2^{nd}[/tex] attempt = [tex]0.74\times0.74[/tex]
Not striking upto [tex]3^{rd}[/tex] attempt = [tex]0.74\times0.74\times0.74[/tex]
Not striking upto [tex]4^{th}[/tex] attempt = [tex]0.74\times0.74\times0.74\times0.74[/tex]
Not striking upto [tex]5^{th}[/tex] attempt = [tex]0.74\times0.74\times0.74\times0.74\times0.74=0.221900662[/tex]
