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

what is the probability of picking an orange 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 an orange 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 probability of picking orange marble

There are 5 marbles in total and 1 orange - marble. So the probability of picking an orange marble, $P(O)=\frac{1}{5}$.

Step2: Calculate probability of flipping heads

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

Step3: Calculate joint - probability

Since the two events (picking a marble and flipping a coin) are independent, the probability of both events occurring is the product of their individual probabilities. So $P(O\cap H)=P(O)\times P(H)$. $P(O\cap H)=\frac{1}{5}\times\frac{1}{2}=\frac{1\times1}{5\times2}=\frac{1}{10}$.

Answer:

$\frac{1}{10}$