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JEE Main Math Class 12 Probability Part 1 Questions
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© examsnet.com
Question : 10
Total: 100
In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on the two dice, in each throw is noted. A wins the game if he throws a total of 6 before B throws a total of 7 and B wins the game if he throws a total of 7 before A throws a total of six. The game stops as soon as either of the players wins.
The probability of A winning the game is :
[Sep. 04, 2020 (II)]
5
31
31
61
5
6
30
61
Validate
Solution:
Probability of sum getting
6
,
P
(
A
)
=
5
36
Probability of sum getting
7
,
P
(
B
)
=
6
36
=
1
6
P
(
A
wins
)
=
P
(
A
)
+
P
(
A
)
P
(
B
)
P
(
A
)
+
P
(
A
)
.
P
(
B
)
P
(
A
)
P
(
B
)
P
(
A
)
+
.
.
.
.
.
⇒
5
36
+
(
31
36
)
(
30
36
)
(
5
36
)
+
.
.
.
.
.
.
.
∞
⇒
5
36
(
1
+
155
216
+
(
155
216
)
2
+
.
.
.
.
.
.
.
.
∞
)
⇒
5
36
61
216
=
30
61
(
∵
S
∞
=
a
1
−
r
)
© examsnet.com
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