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

what is the probability of picking a green 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 green 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

Answer:

$\frac{1}{14}$

Explanation:

Step1: Calculate marble - picking probability

There are 7 marbles in total and 1 green marble. So the probability of picking a green marble $P(G)=\frac{1}{7}$.

Step2: Calculate coin - flipping probability

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

Step3: Calculate combined probability

Since the two events (picking a marble and flipping a coin) are independent, we use the multiplication rule for independent events $P(G\cap H)=P(G)\times P(H)$. So $P(G\cap H)=\frac{1}{7}\times\frac{1}{2}=\frac{1}{14}$.