Calculating the Probability of Drawing a Red or White Marble from a Jar

A jar contains 3 red, 4 blue, and 5 white marbles. Which of the following is the probability of drawing either a red or a white marble?

To find the probability of drawing either a red or a white marble, we first need to determine the total number of marbles in the jar

To find the probability of drawing either a red or a white marble, we first need to determine the total number of marbles in the jar. In this case, there are 3 red, 4 blue, and 5 white marbles, giving a total of 3 + 4 + 5 = 12 marbles.

Next, we determine the number of favorable outcomes, which refers to the marbles we are interested in (either red or white). In this case, we are interested in red or white marbles, so we count the number of red marbles (3) and the number of white marbles (5).

Therefore, the number of favorable outcomes is 3 + 5 = 8.

Finally, we calculate the probability by dividing the number of favorable outcomes by the total number of outcomes:

Probability = Number of favorable outcomes / Total number of outcomes
= 8 / 12
= 2/3
≈ 0.67

So, the probability of drawing either a red or a white marble is approximately 0.67 or 67%.

More Answers:
Calculating Conditional Probability | A Step-by-Step Guide for Probability Theory.
Understanding Disjoint Events | Exploring the Concept of Mutual Exclusivity and Probability Theory
Understanding Complement Events in Probability Theory | Exploring the Relationship Between Events in Probability Calculations

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