A coin is tossed and a die is thrown simultaneously :P is the event of getting head and a odd number.Q is the event of getting either H or T and an even number.R is the event of getting a number on die greater than 7 and a tail.S is the sample space.Which of the following options is correct ?

Engineering

Mathematics

Conditional Probability

Question

A coin is tossed and a die is thrown simultaneously :
P is the event of getting head and a odd number.
Q is the event of getting either H or T and an even number.
R is the event of getting a number on die greater than 7 and a tail.

S is the sample space.

Which of the following options is correct ?

n(S) = 12, n(P) = 3, n(Q) = 2, n(R) = 0

n(S) = 12, n(P) = 3, n(Q) = 3, n(R) = 0

n(S) = 12, n(P) = 3, n(Q) = 6, n(R) = 0

n(S)=12, n(P) = 3, n(Q) = 5, n(R) = 0

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A coin is tossed and a die is thrown simultaneously.

S = {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

Thus n(S) = 12,

P is the event of getting head and an odd number.

P = {H1, H3, H5}

Thus n(P) = 3

Q is the event of getting either H or T and an even number.

Q = {H2, H4, H6, T2, T4, T6}

Thus n(Q) = 6

R is the event of getting a number greater than 7 and tail 1.

R = {}

∴ n(R) = 0

Hence, option C is correct.

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