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

what is the probability of picking an orange marble and rolling a four? 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 four? 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 4 orange marbles and 9 total marbles. So probability $P(\text{orange})=\frac{4}{9}$.

Step2: Calculate probability of rolling a 4

A standard die has 6 sides. Probability of rolling a 4 is $P(4)=\frac{1}{6}$.

Step3: Calculate joint - probability

Since the two events are independent, we use the formula $P(A\cap B)=P(A)\times P(B)$. So $P = \frac{4}{9}\times\frac{1}{6}=\frac{4}{54}=\frac{2}{27}$.

Answer:

$\frac{2}{27}$