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

what is the probability of picking a purple marble and flipping tails? 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 tails? 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 2 purple marbles and 8 total marbles. Probability of picking purple is $\frac{2}{8}=\frac{1}{4}$.

Step2: Calculate coin - flipping probability

Probability of flipping tails on a fair coin is $\frac{1}{2}$.

Step3: Calculate combined probability

Since the two events are independent, we multiply the probabilities: $\frac{1}{4}\times\frac{1}{2}=\frac{1}{8}$.

Answer:

$\frac{1}{8}$