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What is the probability of obtaining a head and a six when a fair coin ...

What is the probability of obtaining a head and a six when a fair coin and and a die are tossed together?
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  • A \(\frac{1}{12}\)
  • B \(\frac{1}{3}\)
  • C \(\frac{1}{2}\)
  • D \(\frac{2}{3}\)
Correct Answer: Option D
Explanation:
\(\text{p(a head and a six)} = \text{p(a head)} + \text{p(a six)}\)

= \(\frac{1}{2} + \frac{1}{6} = \frac{2}{3}\).





Hint: Probability of A and B occurring should be greater than probability A or B happening.

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