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To find the probability of picking a purple marble and rolling an even number, we need to consider the probabilities of each event separately and then multiply them together.
Let's break it down step by step:
1. Probability of picking a purple marble:
- If there are, for example, 3 purple marbles out of 10 marbles in total, the probability of picking a purple marble would be 3/10.
2. Probability of rolling an even number:
- When rolling a fair six-sided die, there are 3 even numbers (2, 4, 6) out of 6 possible outcomes. So, the probability of rolling an even number would be 3/6 or simplified to 1/2.
Now, to find the combined probability of both events happening, we multiply the individual probabilities together:
Probability of picking a purple marble AND rolling an even number:
(3/10) * (1/2) = 3/20
Therefore, the probability of picking a purple marble and rolling an even number is 3/20.
