Probability Practice Test 1

Question : 16 of 40

Marks: +1, -0

A basket full of fruits containing 13 applesand 13 oranges. A person draws two fruitsfrom the basket. What is the probability thatthe two fruits are the same?

$6/25$
$17/325$
$24/325$
$12/25$
$13/25$

Validate

Solution:

Probability of drawing two apples

=^13C_2=13!/{11!×2!}=78

Probability of drawing two oranges

=^13C_2=13!/{11!×2!}=78

Probability of drawing two fruits from a basket

=^26C_2=26!/{24!×2!}=325

So, required probability

={2×78}/325=12/25

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