In the figure below, the circle centered at A is tangent to the circle centered at B. Point B is on the circumference of circle A.

If the circumference of circle A is 10 inches, what is the circumfrence, in inches, of circle B ?

Select one:
A. 10π
B. 20π
C. 10
D. 15
E. 20

2 is the final ! : )

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