12/14 in lowest terms
16/20 in lowest terms
6/36 in lowest terms
20/30 in lowest terms
8/16 in lowest terms
10/45 in lowest terms
14/20 in lowest terms
15/36 in lowest terms
21/56 in lowest terms

1. 6/7

2. 4/5

3. 1/6

4. 2/3

5. 1/2

6. 2/9

7. 7/10

8. 5/13

9. 3/8

Step-by-step explanation:

1. divide by 2

2. divide by 4

3. divide by 6

4. divide by 10

5. divide by 8

6. divide by 5

7. divide by 2

8. divide by 3

9. divide by 7

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