Chapter 1: Q1. (page 36)

One coin is randomly selected from a jar containing 70 nickels, 100 dimes, 80 quarters, and 50 one-dollar coins. Find each probability.
P (quarter)

Short Answer

Expert verified

The probability of choosing a quarter is $\frac{4}{15}$ .

Step by step solution

Step 1. State the formula.

The formula for the probability of an event is $P (E) = \frac{n}{T}$ , where E denotes the event, $P (E)$ denotes the probability of the event E, n denotes the number of favorable outcomes, and denotes the total number of outcomes.

Step 2. List the given data.

The jar contains 70 nickels, 100 dimes, 80 quarters and 50 one-dollar coins.

Step 3. Explanation.

The event is “choosing a quarter.”

The jar contains 70 nickels, 100 dimes, 80 quarters, and 50 one-dollar coins.

Since the jar contains 80 quarters, $n = 80$ .

The total number of coins in the jar is $70 + 100 + 80 + 50 = 300$ . Then, $T = 300$ .

Step 4. Calculate the probability.

Put $E : quarter$ , $n = 80$ and $T = 300$ in $P (E) = \frac{n}{T}$ to get,

$P (quarter) = \frac{80}{300} = \frac{8}{30} = \frac{4}{15}$

So, $P (quarter) = \frac{4}{15}$ .

The probability of choosing a quarter is $\frac{4}{15}$ .

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One coin is randomly selected from a jar containing 70 nickels, 100 dimes, 80 quarters, and 50 one-dollar coins. Find each probability.
P (quarter)

Short Answer

Step by step solution

Step 1. State the formula.

Step 2. List the given data.

Step 3. Explanation.

Step 4. Calculate the probability.

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One coin is randomly selected from a jar containing 70 nickels, 100 dimes, 80 quarters, and 50 one-dollar coins. Find each probability.P (quarter)

Short Answer

Step by step solution

Step 1. State the formula.

Step 2. List the given data.

Step 3. Explanation.

Step 4. Calculate the probability.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Discrete Mathematics

Decision Maths

Statistics

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

One coin is randomly selected from a jar containing 70 nickels, 100 dimes, 80 quarters, and 50 one-dollar coins. Find each probability.
P (quarter)