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

what is the probability of picking a purple 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 purple 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 10 marbles in total and 1 purple marble. So the probability of picking a purple marble $P(marble)=\frac{1}{10}$.

Step2: Calculate coin - flipping probability

The probability of flipping a head on a fair coin $P(head)=\frac{1}{2}$.

Step3: Calculate combined probability

Since the two events are independent, we use the multiplication rule for independent events $P(A\cap B)=P(A)\times P(B)$. So $P = \frac{1}{10}\times\frac{1}{2}=\frac{1}{20}$.

Answer:

$\frac{1}{20}$