How many ways can 7 basketball players be listed in order in a program? a. 5,040 b. 720 c. 120 d. 1

Since the order of basketball players is important, permutation is used. The problem could be interpreted as the permutation of 7 taken 7 at a time

nPr = n! /(n-r)! = 7! /0! = 5040 ways.

The answer is A.

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