What is $1000000_{16} - 8D6A7B_{16}$ in base 16?

729585

Step-by-step explanation:

Because it's difficult to show long subtraction here, we can instead convert both numbers to base 10 first, subtract regularly, and then convert back.

Subtracting one from another, you end up with 7,509,381 in base 10, or 729585 in base 16. Hope this helps!

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