A card Is drawn at random from a pack of 52 cards. find the probability that The card drawn is
(I) a black king
(I) either a black card or a king
(iii) Black and a king
(iv) a jack queen or a king
Answers
Answer:
2/52
28/52
2/52
12/52
hope it is help
No. of cards in a pack =52
Solution(i):
No. of black kings =2
Therefore,
2
C
1
( Selecting 1 out of 2 items) times out of
52
C
1
( Selecting 1 out of 52 items) a black king is picked.
Let E be the event of getting a black king from pack
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
52
C
1
2
C
1
=
52
2
=
26
1
Solution(ii):
No. of black cards or kings =28..... (26Black(including 2 Black kings) + 2 Red Kings)
Therefore,
28
C
1
( Selecting 1 out of 28 items) times out of
52
C
1
( Selecting 1 out of 52 items) a either a black card or a king is picked.
Let E be the event of getting either a black card or a king from pack
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
52
C
1
28
C
1
=
52
28
=
13
7
Solution(iii):
No. of jack, queen or king =12 (4- Jack, 4- Queen, 4-King)
Therefore,
12
C
1
( Selecting 1 out of 12 items) times out of
52
C
1
( Selecting 1 out of 52 items) a jack, queen or a king is picked.
Let E be the event of getting a jack, queen or a king from pack
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
52
C
1
12
C
1
=
52
12
=
13
3