Question

Find the probability. You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows a number from 1-3.
3/12
6/12
8/12
12/12

Answer 1

Answer:

$\frac{3}{12}$

Step-by-step explanation:

There are two things that can happen when you flip a coin (it lands on either heads or tails), therefore:

The probability it lands heads-up is $\frac{1}{2}$

There are six things that can happen when you roll a 6-sided die, therefore:

The probability it rolls 1-3 = $\frac{3}{6}$

To find the probability of both of these things happening, you multiply the fractions together, by multiplying together the denominators an numerators:

$\frac{1}{2}$ × $\frac{3}{6}$ = $\frac{3}{12}$