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When a softball player gets a hit, It can be a single, double, triple, or home run. When Josephine is at bat, The probability that she hits a single is 15 percent and the probability that she hits a double is 5 percent. What is the probability that Josephine hits a single or a double when she is at bat? 

Explore softball probabilities: Find out Josephine's chances of hitting a single or double in this engaging sports scenario.

by Maivizhi A

Updated Mar 06, 2024

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When a softball player gets a hit, It can be a single, double, triple, or home run. When Josephine is at bat, The probability that she hits a single is 15 percent and the probability that she hits a double is 5 percent. What is the probability that Josephine hits a single or a double when she is at bat?

When a softball player gets a hit, It can be a single, double, triple, or home run. When Josephine is at bat, The probability that she hits a single is 15 percent and the probability that she hits a double is 5 percent. What is the probability that Josephine hits a single or a double when she is at bat? 

The probability that Josephine hits a single or a double when she is at bat is 20%.

To find the probability that Josephine hits a single or a double, we simply need to add the individual probabilities of hitting a single and hitting a double.

Given:

  • Probability of hitting a single (P(single)) = 15% = 0.15
  • Probability of hitting a double (P(double)) = 5% = 0.05

The probability of hitting either a single or a double (P(single or double)) is:

P(single or double) = P(single) + P(double)

= 0.15 + 0.05

= 0.20

So, the probability that Josephine hits a single or a double when she is at bat is 20%.

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What is Probability Theory?  

Probability theory is a branch of mathematics that deals with the study of random phenomena or events. It provides a framework for quantifying uncertainty and making predictions about the likelihood of different outcomes.

At its core, probability theory aims to understand and model uncertainty by assigning numerical values, called probabilities, to various outcomes of a random experiment. These probabilities represent the likelihood or chance of each outcome occurring.

Key concepts in probability theory include:

Sample Space: The set of all possible outcomes of a random experiment.

Events: Subsets of the sample space representing particular outcomes or combinations of outcomes.

Probability Distribution: A function that assigns probabilities to each possible outcome or event in the sample space.

Probability Rules: Various rules and principles governing the calculation and manipulation of probabilities, such as the addition rule, multiplication rule, and complement rule.

Conditional Probability: The probability of an event occurring given that another event has already occurred.

Independence: Events are said to be independent if the occurrence of one event does not affect the probability of the other event occurring.

Probability theory finds applications in various fields such as statistics, economics, physics, engineering, finance, and more. It is used to analyze and make predictions in situations involving uncertainty, risk, and randomness

When a softball player gets a hit, It can be a single, double, triple, or home run - FAQs

1. What are the possible outcomes for a softball player when they get a hit?

A softball player can get a single, double, triple, or home run.

2. What are the probabilities of Josephine hitting a single or a double?

The probability of Josephine hitting a single is 15%, and the probability of her hitting a double is 5%.

3. How do you calculate the probability of hitting a single or a double?

Simply add the probabilities of hitting a single and hitting a double.

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