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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

Sagot :

Answer:

[tex]\frac{3}{12}[/tex]

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 [tex]\frac{1}{2}[/tex]

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

The probability it rolls 1-3 = [tex]\frac{3}{6}[/tex]

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

[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{6}[/tex] = [tex]\frac{3}{12}[/tex]

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