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JEE Main Math Class 12 Probability Part 1 Questions
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© examsnet.com
Question : 35
Total: 100
An unbiased coin is tossed. If the outcome is a head then a pair of unbiased dice is rolled and the sum of the numbers obtained on them is noted. If the toss of the coin results in tail then a card from a well-shuffled pack of nine cards numbered
1
,
2
,
3
,
.
.
.
.
.
.
,
9
is randomly picked and the number on the card is noted. The probability that the noted number is either 7 or 8 is:
[Jan 10, 2019 (I)]
13
36
15
72
19
72
19
36
Validate
Solution:
P
(
Outcome is head )
=
1
2
P
(
Outcome is tail)
=
1
2
P
(
7
or 8 is the sum of two dice )
=
6
36
+
5
36
=
11
36
P
(
7
or 8 is the number of card )
=
1
9
+
1
9
=
2
9
Required probability
=
1
2
×
11
36
+
1
2
×
2
9
=
1
2
(
11
+
8
36
)
=
19
72
© examsnet.com
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