All the three face cards of club are removed from the pack of 52 cards. A card is drawn at random from the remaining pack. Find the probability of getting (1) Red card (2) King card.
Answers
Answer:
Step-by-step explanation:Total no. of cards in pack =52
After removing red face cards - king, queen, and jack
No. of cards =52−6=46
Solution(i):
No. of red cards after red face cards drawn=26−6=20
Therefore,
20
C
1
( Selecting 1 out of 20 items) times out of
46
C
1
( Selecting 1 out of 46 items) a red card is picked.
Let E be the event of getting a red card from pack
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
46
C
1
20
C
1
=
46
20
=
23
10
Solution(ii):
No. of face cards =6
Therefore,
6
C
1
( Selecting 1 out of 6 items) times out of
46
C
1
( Selecting 1 out of 46 items) a face is picked.
Let E be the event of getting a face card from the pack
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
46
C
1
6
C
1
=
46
6
=
23
3
Solution(iii):
No. of club card =13
Therefore,
13
C
1
( Selecting 1 out of 13 items) times out of
46
C
1
( Selecting 1 out of 46 items) a club card is picked.
Let E be the event of getting a club from the pack
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
46
C
1
13
C
1
=
46
13