Data Analysis Practice Test 1

ORIGINAL QUESTIONS FROM PREVIOUS YEAR PAPERS

Directions (49-51): Study the following information carefully to answer these questions:
A box contains 4 red pens, 9 blue pens and 5 green pens. The pens are to be drawn randomly as per the specifications given in each of the following questions:

Question : 50 of 65

Marks: +1, -0

If four pens are drawn randomly from the box, what will be the probability that either all are red or all are green?

$1/1020$
$1/510$
$11/510$
$1/180$
None of these

Validate

Solution:

Probability that either all are red or all are green is:

^4C_4/{^18C_4}+{^5C_4}/{^18C_4}

=4!/{0!4!}×{14!4!}/18!+5!/{1!4!}×{13!5!}/18!

=1/510

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