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प्रश्न
Write sample space ‘S’ and number of sample point n(S) for the following experiment. Also write events A, B, C in the set form and write n(A), n(B), n(C).
Three coins are tossed simultaneously.
Condition for event A : To get at least two heads.
Condition for event B : To get no head.
Condition for event C : To get head on the second coin.
उत्तर
Sample Space (S) = {HHH, HHT, HTT, HTH, THT, TTH, THH, TTT}
∴ n(S) = 8
A = {HHH, HHT, HTH, THH}
∴ n(A) = 4
B = {TTT}
∴ n(B) = 1
C = {HHH, HHT, THT ,THH}
∴ n(C) = 4
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Two coins are tossed simultaneously. Write the sample space (S) and expected sample points in the given events by completing the activity.
- Event A: to get at least one head.
- Event B: to get no head.
Activity: Let ‘S’ be the sample space, when two coins are tossed simultaneously.
∴ S = `{square, HT, TH, square}`
i. Event A: to get at least one head.
∴ A = `{HH, square, TH}`
ii. Event B: to get no head.
∴ B = `{square}`.
Two coins are tossed simultaneously. The probability of getting at the most one head is ______.
Two coins are tossed simultaneously. Complete the following activity to write the sample space and the given events A and B in the set form:
Event A: To get at least one head.
Event B: To get no head.
Activity:
Two coins are tossed simultaneously.
∴ Sample space is
S = `{square, HT, TH, square}`
Event A: To get at least one head.
∴ A = `{square, HT, TH}`
Event B: To get no head.
∴ B = `{square}`
