what is the probability of picking a pink marble and flipping heads? write your answer as a fraction or a…

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

Answer

Explanation:

Step1: Calculate marble - picking probability

There are 6 marbles in total and 1 pink marble. The probability of picking a pink marble $P(marble)=\frac{1}{6}$.

Step2: Calculate coin - flipping probability

When flipping a fair coin, the probability of getting heads $P(coin)=\frac{1}{2}$.

Step3: Calculate combined probability

Since the two events are independent, we use the multiplication rule for independent events $P = P(marble)\times P(coin)$. So $P=\frac{1}{6}\times\frac{1}{2}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$