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[Solved] Finding the probability that the die shows an odd number and the coin shows a head

 
Probability
Last Post by Staff 4 years ago
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June 15, 2021 3:31 pm
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(@armor)
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A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.

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June 15, 2021 3:31 pm
Topic starter
Staff 
(@armor)
Admin
  Honorable Member
317 Posts
156 153 0

\small S=\left \{ (1,H), (2,H), (3,H), (4,H),(5,H), (6,H), (1,T), (2,T), (3,T), (4,T), (5,T), (6,T) \right \}

Let E be the event "the die shows an odd number and the coin shows a head". Event E may be described as follows

\small E=\left \{ (1,H), (3,H), (5,H) \right \}

The probability P(E) is given by 

\small P(E)=n(E)/n(S)=3/12=1/4.

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