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What Are the Key Differences Between Simple and Compound Events in Probability?

In probability, there are two main types of events: simple events and compound events. Let's look at how they are different.

Simple Events:

  • A simple event happens when there is just one result.
  • For example, when you toss a coin, it can land on heads or tails.

Compound Events:

  • A compound event happens when you combine two or more simple events.
  • For instance, imagine you roll a die and toss a coin. The possible outcomes can be: (1, heads), (1, tails), (2, heads), and so on.

How to Calculate Probability:

Simple Events:
To find the probability of a simple event, you can use this formula:
[ P(A) = \frac{\text{Number of good outcomes}}{\text{Total outcomes}} ]

Compound Events:
For compound events, there are some rules to remember.

  • Use addition for "or" situations.
  • Use multiplication for "and" situations.

For example, if you roll a die and get a 4, and then flip a coin, the probability of both happening would be:
[ P(4) \times P(H) = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12} ]

That's it! Simple and compound events help us understand what might happen in different situations!

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What Are the Key Differences Between Simple and Compound Events in Probability?

In probability, there are two main types of events: simple events and compound events. Let's look at how they are different.

Simple Events:

  • A simple event happens when there is just one result.
  • For example, when you toss a coin, it can land on heads or tails.

Compound Events:

  • A compound event happens when you combine two or more simple events.
  • For instance, imagine you roll a die and toss a coin. The possible outcomes can be: (1, heads), (1, tails), (2, heads), and so on.

How to Calculate Probability:

Simple Events:
To find the probability of a simple event, you can use this formula:
[ P(A) = \frac{\text{Number of good outcomes}}{\text{Total outcomes}} ]

Compound Events:
For compound events, there are some rules to remember.

  • Use addition for "or" situations.
  • Use multiplication for "and" situations.

For example, if you roll a die and get a 4, and then flip a coin, the probability of both happening would be:
[ P(4) \times P(H) = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12} ]

That's it! Simple and compound events help us understand what might happen in different situations!

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