What is the probability that Yasmine takes a red marble?
In this scenario, we'll explore a probability calculation involving Yasmine and her choice of marbles from a bag. Understanding probability is essential for making informed decisions in various situations. Let's dive into the problem and calculate the probability of Yasmine selecting a red marble.
Introduction
Probability is a measure of the likelihood of an event occurring. It ranges from 0 (impossible) to 1 (certain). In this case, Yasmine is drawing a marble from a bag, and we want to determine the probability of her selecting a red marble.
Problem Statement
Yasmine has a bag of marbles that contains 5 red marbles and 10 green marbles. She reaches into the bag without looking and selects one marble at random. What is the probability that she selects a red marble?
Calculating the Probability
To calculate the probability of Yasmine selecting a red marble, we'll use the following formula:
Probability (P) = Number of favorable outcomes / Total number of possible outcomes
In this case, the number of favorable outcomes is the number of red marbles (5), and the total number of possible outcomes is the sum of red and green marbles (5 + 10 = 15).
Probability (P) = 5 / 15 = 1/3 ≈ 0.3333
Interpretation
The probability that Yasmine selects a red marble from the bag is approximately 0.3333 or 33.33%. This means that if she were to draw a marble from the bag many times, we would expect around one-third of her selections to be red marbles.
Conclusion
Probability calculations help us understand the likelihood of different outcomes in various situations. In the case of Yasmine's marble choice, we found that the probability of selecting a red marble is approximately 33.33%. This knowledge can be useful for decision-making and predicting outcomes.
