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

what is the probability of picking an orange 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 an orange 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

Answer:

$\frac{4}{16}=\frac{1}{4}$

Explanation:

Step1: Calculate marble - picking probability

There are 8 marbles in total and 4 orange marbles. The probability of picking an orange marble $P(O)=\frac{4}{8}$.

Step2: Calculate coin - flipping probability

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

Step3: Calculate combined probability

Since the two events (picking a marble and flipping a coin) are independent, we use the multiplication rule for independent events $P(O\cap T)=P(O)\times P(T)=\frac{4}{8}\times\frac{1}{2}=\frac{4}{16}=\frac{1}{4}$.