Answered

A coin is tossed, and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube shows an even number?

A 1/6

B 1

C 1/4

D 1/2

Verified Answer :

SchwarzschildRadius

So,

Since this is independent probability, the probability of the event above occurring is:
\((probability\ of\ heads)(probability\ of\ even\ no.)\)

First, the probability of landing on heads.
\(\frac{1}{2}\)

Now, the probability of rolling an even number.
\(\frac{3}{6}\ or\ \frac{1}{2}\)

Plug it into the equation.
\(\frac{1}{2} * \frac{1}{2} = \frac{1}{4}\)

The correct option is C.

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