Katy had 32 beads. Audry had twice as many beads as Katy. Audry found 3 more beads. Show the equation.

I'm not sure what equation you want so here are two.

For both girl's total amount of beads:

32+(32×2+3)=99

For Audry's total amount of beads:

x=Audry's beads

32×2+3=x (67 beads)

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