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

what is the probability of picking a green 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 green 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 probability of picking green marble

There are 10 marbles in total and 1 green marble. So the probability of picking a green marble $P(G)=\frac{1}{10}$.

Step2: Calculate probability of flipping tails

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

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 $P = P(G)\times P(T)$. $P=\frac{1}{10}\times\frac{1}{2}=\frac{1\times1}{10\times2}=\frac{1}{20}$.

Answer:

$\frac{1}{20}$