Math Problem Statement

The table below shows the number of credit cards owned by a group of individuals. If one person was chosen at random, find the probability that the person had no credit cards and is male.

Zero One Two or more Male 9 11 3 Female 4 10 20 Round your answer to two decimal places.

Solution

We can solve this probability problem by determining the favorable outcome (i.e., a male with no credit cards) and the total number of individuals in the group.

Step 1: Total Number of Individuals

To find the total number of individuals, sum the values from all categories:

  • Males:

    • Zero cards: 9
    • One card: 11
    • Two or more cards: 3

    Total males = 9+11+3=239 + 11 + 3 = 23

  • Females:

    • Zero cards: 4
    • One card: 10
    • Two or more cards: 20

    Total females = 4+10+20=344 + 10 + 20 = 34

The total number of individuals is: 23+34=5723 + 34 = 57

Step 2: Favorable Outcome (Male with Zero Credit Cards)

The number of males with no credit cards is 9.

Step 3: Probability Calculation

The probability is given by the ratio of favorable outcomes to the total number of outcomes: P(Male with zero credit cards)=957P(\text{Male with zero credit cards}) = \frac{9}{57}

Simplifying the fraction: P(Male with zero credit cards)=160.17P(\text{Male with zero credit cards}) = \frac{1}{6} \approx 0.17

Thus, the probability that a randomly chosen person is a male with no credit cards is 0.17.


Would you like further details or have any other questions?

Related Questions:

  1. What is the probability of selecting a female with one credit card?
  2. What is the probability of selecting a person with two or more credit cards?
  3. What is the probability of selecting a male with one credit card?
  4. What is the probability of selecting a person with no credit cards?
  5. What is the probability of selecting a female with two or more credit cards?

Tip: When calculating probabilities, always ensure you correctly identify the total number of possible outcomes for accuracy.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Basic Statistics

Formulas

Probability formula: P(Event) = Favorable outcomes / Total outcomes

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 6-8