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

what is the probability of picking a blue 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 blue 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 3 blue marbles and a total of 8 marbles. So the probability of picking a blue marble $P(B)=\frac{3}{8}$.

Step2: Calculate coin - flipping probability

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

Step3: Use multiplication rule for independent events

Since the two events (picking a marble and flipping a coin) are independent, the probability of both events occurring is $P = P(B)\times P(T)$. $P=\frac{3}{8}\times\frac{1}{2}=\frac{3\times1}{8\times2}=\frac{3}{16}$

Answer:

$\frac{3}{16}$