Question

3
.: P(B) =
6
2.
(3) A card is drawn from a well shuffled pack of 52 playing cards. Find the
probability of each event. The card drawn is (i) a diamond
(ii) a face card (iii) a black card​

Answer 1

Answer:

Let S be the sample space.

There are 52 playing cards in a pack

∴ n(S)=52

Let A be the event that the card drawn is a king

Total king in pack =4

∴ n(A)=4

∴ P(A)=

n(S)

n(A)

=

52

4

=

13

1

Let B be the event that the card drawn is a face card

Total face card in a pack =12

∴ n(B)=12

∴ P(B)=

n(S)

n(B)

=

52

12

=

13

3

Answer 2

Answer:

i) 1/4

ii) 3/13

iii) 1/2

Step-by-step explanation:

there are 13 diamond cards in a pack

there are 12 face cards in a pack

there are 26 black cards in a pack

formula for calculating probability-

P(A) = n(A)/n(S)

where A is the given condition or event and S is the sample space or all possible outcomes