A lot consists of eight good articles with four minor defects, and two major defects. One article is chosen at random, find the probability that
(i)
It has no defects
(ii)
It has no major defects
(iii)
It is either good or has major defects.

What subject of math is it

Step-by-step explanation:

^

47 - 90 = 43

43 - 180 = x

x = 137

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