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

what is the probability of picking a blue 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 blue 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 8 marbles in total and 5 blue marbles. The probability of picking a blue marble $P(B)=\frac{5}{8}$.

Step2: Calculate coin - flipping probability

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

Step3: Use multiplication rule for independent events

Since picking a marble and flipping a coin are independent events, the probability of both events occurring is $P = P(B)\times P(H)$. So $P=\frac{5}{8}\times\frac{1}{2}=\frac{5}{16}$.

Answer:

$\frac{5}{16}$