Let S denote the sample space. Them, n(S) = 52.
(i) Let
E
1
=
E
event of drawing a red card which is a king.
We know that the number of red kings is 2. So,
n
(
E
1
)
=
2
.
n
∴
∴
P(getting a red king)
=
P
(
E
1
)
=
n
(
E
1
)
n
(
S
)
=
2
52
=
1
26
.
=
(ii) Let
E
2
=
E
event of drawing a card which is either red or a king. There are 26 red cards (including 2 red kings) and there are 2 more kings.
∴
n
(
E
2
)
=
(
26
+
2
)
=
28
∴
∴
∴
P(getting a red card or a king)
=
P
(
E
2
)
=
n
(
E
2
)
n
(
S
)
=
28
52
=
7
13
.
=
