Question

A coin is tossed and a dice is thrown simultaneously.
i) Describe the sample space 5.
ii) find the probability of getting
a) A head and an odd number.
b) A tail

Answer 1

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Answer 2

Head - 1, 2,3,4,5,6
Tail - 1,2,3,4,5,6

i)Sample space - { H₁ , H₂ , H₃ , H₄ , H₅ , H₆ , T₁ , T₂ , T₃ , T₄ , T₅ , T₆}
Possible outcomes = 12

ii) a) Favorable outcome of getting a head with an odd number = 3
{ H₁ , H₃ , H₅}
Probability = 3/12 = 1/4

b) Favorable outcome of getting a tail = 6
{ T₁ ,T₂ , T₃ , T₄ , T₅ , T₆}
Probability = 6/12 = 1/2

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