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



Answer :

So,

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

First, the probability of landing on heads.
[tex] \frac{1}{2} [/tex]

Now, the probability of rolling an even number.
[tex] \frac{3}{6}\ or\ \frac{1}{2} [/tex]

Plug it into the equation.
[tex] \frac{1}{2} * \frac{1}{2} = \frac{1}{4} [/tex]

The correct option is C.

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