This table gives the dimensions for a scale drawing of a house. Every 2 inches on the scale drawing represents 1.5 feet of the original house. Use proportional reasoning to complete the table with the original lengths.

A 2-column table with 4 rows. Column 1 is labeled Scale model (inches) with entries 2, 8, 12, 16. Column 2 is labeled Original length (feet) with entries 1.5, a, b, 12.

a =
b =

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

open side up . . 1/50 . . 2%

closed side up . . 5/50 . . 10%

landed on side . . 44/50 . . 88%