Each of the six letters stands for a different number, 1 through 9. Using the three clues, can you deduce the number represented by each letter? ABC
DEF

B x C = A + D
The total of each row is 16.
The sum of the first two columns is the same, and the sum of the rightmost column is 12.

A = 9

B = 2

C = 5

D = 1

E = 8

F = 7

Step-by-step explanation:

A 9 B 2 C 5 = 16

D 1  E 8 F 7 = 16

10   10    12

BxC (2x5) = 10

A+D (9+1) = 10

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

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: