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Two players play the following game : A ...

Two players play the following game : A writes 3, 5, 6 on three different cards, B writes 8, 9, 10 on three different cards. Both draw randomly two cards from their collections. Then A computes the product of two numbers he/she has drawn, and B computes the sum of two numbers he/she has drawn. The player getting the larger number wins. What is the probability that A wins ?

A

`1/3`

B

`5/9`

C

`4/9`

D

`1/9`

Text Solution

Verified by Experts

The correct Answer is:
C
Foa A to win, A can draw either 3, 6, or 5, 6. If A draws 3, 6 then B can draw only 8 & 9
Prob. `=1/3.1/3=1/9`
If A draws 5, 6 then B can draw, any two
Probability `=1/3. 1=1/3`
Probability `=1/9+1/3=4/9`
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