A six-sided die is rolled while a penny is flipped. What is the chance of rolling a two and getting heads?
AOne in six
BOne in two
COne in twelve
DOne in eight
Answer & Solution
Correct answer: C. One in twelve
1. List the outcomes: six die faces times two coin faces gives 12 equally likely combinations.
2. Two of those 12 carry a die roll of two, so the chance of a two is 2/12, which is 1/6.
3. Six of those 12 carry heads, so the chance of heads is 6/12, which is 1/2.
4. The word and signals the product rule, so multiply: 1/6 times 1/2 equals 1/12.
5. Only one of the 12 listed outcomes is a two with heads, which confirms 1/12.
_Source: OpenStax Biology (1st ed., CC BY 4.0), Ch 12 "Mendel's Experiments and Heredity", section 12.1 Mendel's Experiments and the Laws of Probability_
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