Question

If a coin is flipped and then a six-sided number cube is rolled, what is the probability that the outcome will be Heads and a 2?

Answer 1

1/12

Explanation:

The probability of flipping a heads is 1/2,

the probability of rolling a 2 on a 6-sided die is 1/6.

at the end question said that will be heads and a 2

so whenever and / or is used it means

and means multiplication

or means addition

so here is and then we multiply both probability

1/2*1/6 = 1/12

so the probability that the outcome os head and 2 is 1/12

Answer 2

Probability=
`\sf (1)/(12)`

Explanation:

There are two independent events that can happen: getting heads on the coin and rolling a 2 on the die.

The probability of getting heads is:

`\frac{\textsf{No. of favourable outcomes }}{\textsf{Total No. of outcomes }}=(1)/(2)`

The probability of rolling a 2 on the die is:

`\frac{\textsf{No. of favourable outcomes }}{\textsf{Total No. of outcomes }}=(1)/(6)`

Since these are independent events, the probability of both happening is the product of the probabilities of the two events.

So the probability of getting heads and a 2 is:

`\sf (1)/(2) \cdot (1)/(6) = \boxed{(1)/(12)}`