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

what is the probability of picking an orange marble and rolling a one? 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 rolling a one? 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 5 marbles in total and 2 orange marbles. Probability of picking an orange marble $P(O)=\frac{2}{5}$.

Step2: Calculate dice - rolling probability

A standard die has 6 sides. Probability of rolling a 1 $P(1)=\frac{1}{6}$.

Step3: Calculate combined probability

Since the two events are independent, use the formula $P(A\cap B)=P(A)\times P(B)$. So $P = \frac{2}{5}\times\frac{1}{6}=\frac{2}{30}=\frac{1}{15}$.

Answer:

$\frac{1}{15}$