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The probability is 1/2 that a coin will turn up heads on any given toss and the probability is 1/6 that a number cube with faces numbered 1 to 6 will turn up any particular number. What is the probability of turning up heads and a 6?1/36

Question

The probability is 1/2 that a coin will turn up heads on any given toss and the probability is 1/6 that a number cube with faces numbered 1 to 6 will turn up any particular number. What is the probability of turning up heads and a 6?1/36

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Solution

The probability of two independent events occurring simultaneously is calculated by multiplying the probabilities of each event.

In this case, the two events are:

  1. The coin turning up heads, which has a probability of 1/2.
  2. The number cube turning up a 6, which has a probability of 1/6.

So, to find the probability of both events happening at the same time, you multiply the two probabilities together:

(1/2) * (1/6) = 1/12

So, the probability of turning up heads and a 6 at the same time is 1/12.

This problem has been solved

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