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Supppose you have a large barrel containing a number of plastic eggs.
Some eggs contain pearl and rest contain nothing.Some eggs are painted
blue,rest are painted red.
Suppose 40 % of the eggs are painted blue,(5/13) of the eggs containing pearls
are painted blue,and 20 % of the red eggs are empty.
What is the probability that the egg painted blue contains a pearl?

1 Answer

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4 4 votes

Lets say total No. of eggs= 100.

blue egg(40%)=40

red=60

20% red are empty so 12 is empty and 48 contain pearl.

5/13 egg containg pearl is painted blue so 8/13 would be red.

8X/13=48

x=78

blue containg pearl=5X/13=30

total egg painted 100,egg containing pearl 78.

so P=78/100

  Blue(40) Red(60)
empty 10 12
Pearl 30 48

Ans=30/40= 3/4

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