Question

a card is drawn at random from a deck of cards. Find the probability of getting the 3 of diamond.

Answer 1

Hey there!

Number of cards in a deck = 52 .

Therefore, Sample space n(S) = 52 .

Number of diamonds in a deck = 13

Number of diamonds card having 3 = 1 .

Now, Let the event of getting 3 of diamond is E.

Number of favourable events = n(E) = 1 .

Therefore,
Probability of getting a 3 of diamond = n(E)/n(S) = 1/52 .

Hope helped!

Answer 2

Sample space n(S) = 52 .

Number of diamonds in a deck = 13

Number of diamonds card having 3 = 1

Now, Let the event of getting 3 of diamond is E. Number of favourable events = n(E) = 1

Probability of getting a 3 of diamond = n(E)/n(S) =

                                                                               1/52 .