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Using a fair coin and a number cube with faces numbered 1 through 6, what is the probability of getting heads and rolling a 5?
A
1/12
B
1/6
C
1/2
D
11/12


Sagot :

Step-by-step explanation:

Use Multiplication Principle with states that if a event can occur n ways, and another mutually exclusive event occur p ways, then the total outcome is

[tex]n \times p[/tex]

The possible ways of rolling a dice is 6 and the possible ways of flipping a coin is 2 so we have

[tex]6 \times 2 = 12[/tex]

Now, we use the fact that proabliblity is

Number of favorable outcomes/ Total outcomes.

We can only get a head and a 5 once out of the set so the number of favorable outcomes is 1. Total outcomes is 12 so we have

[tex] \frac{1}{12} [/tex]

A is the answer.