The tortoise and the hare agree to a re-match. As they begin the race, the tortoise plods along slowly but confidently at 2 ½ mph. The hare zips ahead at 8 ½ mph, determined not to repeat his original mistake…and he doesn’t! The hare never slows down and reaches the finish line 45 minutes (3/4 of an hour) before the tortoise. How long did the tortoise run?

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560