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 =
-
Females:
- Zero cards: 4
- One card: 10
- Two or more cards: 20
Total females =
The total number of individuals is:
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:
Simplifying the fraction:
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:
- What is the probability of selecting a female with one credit card?
- What is the probability of selecting a person with two or more credit cards?
- What is the probability of selecting a male with one credit card?
- What is the probability of selecting a person with no credit cards?
- 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.
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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
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