Seventy-five percent of female prison inmates are mothers. If 3 female prison inmates are selected at random, what is the probability that none are mothers?
#Probability
mental moon
shy hillBOT
mental moon
I found the answer is 0.25x0.25x0.25 but i don't understand
rose field
You multiply the probs
What is the prob that first one isnt , the second one isnt etc...
mental moon
for example, if the prison have 100 people 75%=mother, 25%=none mother that means 75 person is mother, 25 person is none mother, so the first one i pick is 25/100 , why the second i choose no become 24/99 ?
rough tiger
it does
you're right
it's like you;re assuming the prison has quadrillion people
it's not technically true that you can do 0.25x0.25x0.25
it's just the best you can do
mental moon
but i check the answer is use this "0.25x0.25x0.25" equation🥲
shy hillBOT
Help probability
wanton bay
You are correct.
There are probabilities with replacement that are resolved:
p*p*p... = p^n
and without replacement, as is in this case, that are resolved as you propose:
P(A)*P(B|A)*P(C|B|A)...
But they can be approximated to one with replacement if the sample is very small with respect to the total.
mental moon
but how can i know this question is independent event or not ?
shy hillBOT
Probability
mental moon
Can someone help