A housewife buys a dozen eggs out of which two turn out to be rotten She chooses four eggs - Maths - Probability

Question

A housewife buys a dozen eggs out of which two turn out to be
rotten She chooses four eggs to scramble for breakfast Find the
chance that she chooses:
a) all good eggs
b)three good and one bad egg
c)two good and two bad eggs
d)atleast one bad egg
PLEASE HELP! :O

Amit kumar · Accepted Answer

Total eggs = 12No of rotten eggs =2No of good eggs = 10Selecting
any 4 eggs , S(E) = 12C4 = 12!/(8! 4!) =495a) Probability of all
good eggs= 10C4/S(E) = 210/495 = 14/33b)Probability of 3 good and 1
bad eggs = 10C3 × 2C1/S(E) =120×2/495 =
16/33c)Probability of 2 good and 2 bad eggs = 10C2 × 2C2/S(E)
= 45×1/495 = 1/11d)Probability of atleast 1 bad egg=
Probability of 1 bad egg + Probability of 2 bad eggs =16/33 + 1/11
= (16+3)/33 = 19/33

A housewife buys a dozen eggs out of which two turn out to be rotten. She chooses four eggs to scramble for breakfast. Find the chance that she chooses: a) all good eggs b)three good and one bad egg c)two good and two bad eggs d)atleast one bad egg PLEASE HELP! :O

A housewife buys a dozen eggs out of which two turn out to be rotten. She chooses four eggs to scramble for breakfast. Find the chance that she chooses:

a) all good eggs

b)three good and one bad egg

c)two good and two bad eggs

d)atleast one bad egg

PLEASE HELP! :O