Question

Three different greeting cards and their corresponding covers are randomly strewn about on a table. If Ravi puts the greeting cards in to the cover satrandom, the probability of correctly matching of all greeting cards and covers is

A) 1/6

B) 2/3

C) 1/9

D) 5/6

Answer 1

Correct option is: A)\(\frac 16\)

There are 3 greeting cards and their 3 covers

Since, first greeting card has 3 possibilities to covering in which only one cover is  a perfect cover for first greeting card.

For second greeting card 2 possibilities covers left in which only one cover is a perfect cover for second greeting card.

For third greeting card only one cover (Possibility) left.

\(\therefore\) Total No of possible outcomes = 3 \(\times\) 2 \(\times\) 1 = 6 in which only one outcome has 3 greeting card covered by their correct (Corresponding) cover.

 \(\therefore\) Total No of favourable outcomes = 1

The probability of correctly matching of all greeting cards and covers is 

P = \(\frac {Total \,No\, of \,favourable \,outcomes}{Total \,No \, of \,Possible \, outcomes}\)= \(\frac 16\)

Answer 2

Correct option is: A) \(\frac{1}{6}\)