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Standard XII
Mathematics
Random Experiment
Two coins are...
Question
Two coins are tossed simultaneously. Write the sample space(S) of the following event A using set notation and n(A), where A is the event of getting at the most one head.
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Solution
Sample space
=
{
H
H
,
H
T
,
T
H
,
T
T
}
n
(
S
)
=
4
A
=
{
H
T
,
T
H
,
T
T
}
n
(
A
)
=
3
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Similar questions
Q.
Two coins are tossed simultaneously. Write the sample space
S
and the number of sample point
n
(
S
)
.
A
is the event of getting at least one head. Write the event
A
in set notation and find
n
(
A
)
Q.
Two coins are tossed simultaneously. Write the sample space
′
S
′
and the number of sample point
n
(
S
)
.
A
is the event of getting no head. Write the event
A
in set notation and find
n
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.
Q.
In each of the following experiments, write the sample space S, numberr of sample points n(S), event A,B,C and n(A), n(B), n(C), also find complementary events, mutually exclusive events:
(i) Two coins are tossed, A is the event of getting at most one head, B is the event getting both heads, C is the event of getting same face on both the coins.
Q.
In each of the following experiments write the sample space S, number of sample points n(S), events P, Q, R using set form and n(P), n(Q) and n(R).
Find the events among the events defined above which are:
complementary events, mutually exclusive events and exhaustive events
(i) Three coins are tossed simultaneously:
P is the event of getting at least two heads.
Q is the event of getting no head.
Q is the event of getting head on second coin.
Q.
Two coins are tossed,
A
is the event of getting at most one head,
B
is the event getting both heads,
C
is the event of getting same face on both the coins. The events
A
and
B
are:
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