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in Statistics and probability by (52.5k points)

There are four boxes A1, A2, A3 and A4. Box Ai has i cards and on each card a number is printed, the numbers are from 1 to i. A box is selected randomly, the probability of selection of box Ai is i/10 and then a card is drawn. Let Ei represents the event that a card with number ‘i’ is drawn.

P(E1) is equal to

(A) 1/5 

(B) 1/10 

(C) 2/5 

(D) 1/4

1 Answer

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Best answer

Answer is C) 2/5

P(E1) = 1/10 x 1 + 2/10 x 1/2 + 3/10 x 1/3 + 4/10 x 1/4 = 2/5

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