SOLUTION: Off 12 eggs in a refrigerator, 2 are bad. From these, 4 eggs are chosen at random to make a cake. What are the probabilities that? a. Exactly one is bad. b. At least one is bad.

Algebra ->  Functions -> SOLUTION: Off 12 eggs in a refrigerator, 2 are bad. From these, 4 eggs are chosen at random to make a cake. What are the probabilities that? a. Exactly one is bad. b. At least one is bad.      Log On


   



Question 353799: Off 12 eggs in a refrigerator, 2 are bad. From these, 4 eggs are chosen at random to make a cake. What are the probabilities that?
a. Exactly one is bad.
b. At least one is bad.

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!
2 bad, 10 good eggs

No. of ways to choose 4 eggs from total 12 = 12C4
A.:

No. of ways to choose exactly one bad = 2C1 * 10C3 = 240

probability of exactly one bad = 240 / 495


B.: No. of ways to choose all 4 good eggs = 10C4 = 210
probability of all eggs are good = 210/495
so, now probability of at least one bad among 4 = 1 - 210/495

= 285 /495


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