Probability

Probability

Secondary 4

Two fair six-sided dice are rolled independently.
Let \(A\) be “the first die is even” and \(B\) be “the second die is greater than \(4\)”.

  1. State \(P(A)\) and \(P(B)\), and explain why the events are independent.

  2. Find the probability that both occur.

  3. Find the probability that neither occurs.

  4. Find the probability that at least one occurs.

Solution:

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Answer:(a) \(\frac{1}{2}\), \(\frac{1}{3}\); (b) \(\frac{1}{6}\); (c) \(\frac{1}{3}\); (d) \(\frac{2}{3}\).

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