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There are four boxes B(1), B(2), B(3) an...

There are four boxes `B_(1), B_(2), B_(3) and B_(4)`. Box `B_(i)` 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 selecting box `B_(i)` is `(i)/(10)` and then a card is drawn.
Let `E_(i)` respresent the event that a card with number 'i' is drawn, Then :
Q. `P(E_(1))` is Equal to :

A

`(1)/( 5)`

B

`(1)/(10)`

C

`(2)/(5)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • There are four boxes B_(1), B_(2), B_(3) and B_(4) . Box B_(i) 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 selecting box B_(i) is (i)/(10) and then a card is drawn. Let E_(i) respresent the event that a card with number 'i' is drawn, Then : Q. P(B_(3)|E_(2)) is equal to :

    A
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    `(1)/(4)`
    C
    `(1)/(3)`
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    A
    `1/10`
    B
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