what is the probability of picking a green marble and rolling an odd number? write your answer as a fraction…

what is the probability of picking a green marble and rolling an odd number? 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 rolling an odd number? 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 4 green marbles and 4 purple marbles, so total marbles are 4 + 4=8. Probability of picking green marble $P(G)=\frac{4}{8}=\frac{1}{2}$.

Step2: Calculate probability of rolling odd - number on a die

A standard die has 6 faces numbered 1 - 6. Odd numbers are 1, 3, 5. So probability of rolling an odd number $P(O)=\frac{3}{6}=\frac{1}{2}$.

Step3: Use multiplication rule for independent events

Since picking a marble and rolling a die are independent events, the probability of both events occurring is $P = P(G)\times P(O)$. $P=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$

Answer:

$\frac{1}{4}$