rename 1/2 and 2/3 as fractions with denominators of 6.then add the renamed fractions. write the sum as a mixed number.

1 and 1/6

Step-by-step explanation:

To rename a fraction you multiply both numbers by however many times the original denominator goes into the new one.

2 goes into 6 three times.

1 times 3 is 3

and 2 times 3 is 6

so 1/2=3/6

3 goes into 6 twice

2 times 2 is 4

and 2 times 3 is 6

so 2/3=4/6

to add fractions you add the numerators while keeping the denominators the same.

3+4=7 so:

3/6+4/6=7/6

6/6=1

so 7/6 contains 1 whole

once you take that out you have 1/6 left over

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