Cindy and victor are playing a math game. the winner must get three in a row of the same type of real numbers and justify how do numbers are alike. cindy said that cindy and victor are playing a math game. the winner must get three in a row of the same type of real numbers and justify how the numbers are alike. cindy said she won because she was able to get three rational numbers on a diagonal. victor said he won with three positive numbers in a column. can both players say they won, for different reasons? explain

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

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