Question

write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator. what is the probability of picking a purple marble and flipping heads?

Explanation:

Step1: Calculate the probability of picking a purple marble

There are 12 marbles in total and 4 purple marbles. The probability of picking a purple marble is $\frac{4}{12}=\frac{1}{3}$.

Step2: Calculate the probability of flipping heads

When flipping a coin, there are 2 possible outcomes (heads or tails) and 1 favorable outcome (heads). The probability of flipping heads is $\frac{1}{2}$.

Step3: Calculate the combined probability

Since these are independent events, we multiply the probabilities. $\frac{1}{3}\times\frac{1}{2}=\frac{1\times1}{3\times2}=\frac{1}{6}$.

Answer:

$\frac{1}{6}$