The Myers-Briggs Personality Type Inventory is a commonly used tool to

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The Myers-Briggs Personality Type Inventory is a commonly used tool to indicate the core personality traits of individuals and is broken down into 4 components: How you interact with others (introvert or extravert); how you process information (sensing or intuitive); how you make decisions (thinking or feeling); and the structure you prefer to work in (judging or perceiving). The MBTI was administered to 375 couples to ask whether people tend to marry people with the same or different personality types.

### Similarities and Differences in a Random Sample of 375 Married Couples

| Number of Similar Personality Preferences | Number of Married Couples |
|------------------------------------------|----------------------------|
| Four                                     | 34                         |
| Three                                    | 131                        |
| Two                                      | 124                        |
| One                                      | 71                         |
| None                                     | 15                         |

**Suppose that a married couple is selected at random. What is the likelihood that they will share all four personality preferences?**

This table outlines a breakdown of 375 married couples, indicating the number of similarities in their personality preferences based on the Myers-Briggs categories. The likelihood of a randomly selected couple sharing all four personality preferences can be calculated by dividing the number of couples with four similar preferences by the total number of couples surveyed.
Transcribed Image Text:The Myers-Briggs Personality Type Inventory is a commonly used tool to indicate the core personality traits of individuals and is broken down into 4 components: How you interact with others (introvert or extravert); how you process information (sensing or intuitive); how you make decisions (thinking or feeling); and the structure you prefer to work in (judging or perceiving). The MBTI was administered to 375 couples to ask whether people tend to marry people with the same or different personality types. ### Similarities and Differences in a Random Sample of 375 Married Couples | Number of Similar Personality Preferences | Number of Married Couples | |------------------------------------------|----------------------------| | Four | 34 | | Three | 131 | | Two | 124 | | One | 71 | | None | 15 | **Suppose that a married couple is selected at random. What is the likelihood that they will share all four personality preferences?** This table outlines a breakdown of 375 married couples, indicating the number of similarities in their personality preferences based on the Myers-Briggs categories. The likelihood of a randomly selected couple sharing all four personality preferences can be calculated by dividing the number of couples with four similar preferences by the total number of couples surveyed.
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Similarities and differences in a random sample of 375 married couples are given.

Number of similar personality preferences  Number of married couples 
Four 34
Three 131
Two 124
One  71
None 15
  • It is asked to find the likelihood that they will share all four personality preferences. 
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