there are 16 marbles in a bowl: 3 are red 6 are black and 7 are green. Jimmy draws 1 marble from the bowl. what is the probability the marble is either red or black?

To find the probability that Jimmy draws a marble that is either red or black, we can use the following steps:

### Step 1: Determine the total number of marbles.
There are 16 marbles in total (3 red, 6 black, and 7 green).

### Step 2: Count the number of favorable outcomes.
The favorable outcomes are drawing either a red or black marble. There are:
- 3 red marbles
- 6 black marbles

So, the total number of favorable outcomes is \( 3 + 6 = 9 \).

### Step 3: Calculate the probability.
The probability \( P \) of drawing either a red or black marble is given by:

\[
P(\text{red or black}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{9}{16}
\]

So, the probability is \( \frac{9}{16} \).

Would you like further details or have any questions?

Here are some related questions to explore:

1. What is the probability of drawing a green marble?
2. If two marbles are drawn without replacement, what is the probability that both are black?
3. What is the probability of drawing a red marble on the first try?
4. If one marble is drawn and replaced, what is the probability of drawing two black marbles in a row?
5. What is the probability of drawing a red or green marble?

**Tip:** In probability, the sum of probabilities for all possible outcomes should always equal 1.

There are 16 marbles in a bowl: 3 are red, 6 are black, and 7 are green. Jimmy draws 1 marble from the bowl. What is the probability the marble is either red or black?

Calculate the probability of drawing a red or black marble from a bowl containing 16 marbles (3 red, 6 black, 7 green). This problem covers basic probability concepts, including counting favorable outcomes and using the probability formula. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation