The probability that 1 egg out of 30 is cracked is 0.05.

Question

a)Find the probability that at least 1 egg is cracked out of 30.
b)Find the probability that at most 2 are cracked

Answer 1

a) exclude the case where none are cracked
Prob(none are cracked)
= C(30,0)(.05)^0 (.95)^30
= ....

b) follow the above pattern to get
Prob(none) + prob(one broken) + prob(two broken)
= ..... + C(30,1) (.05)^1 (.95)^29 + ....
= ....