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Learn Challenge: Solving the Task Using Inclusion-Exclusion Principle | Probability of Complex Events
Probability Theory Basics

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Challenge: Solving the Task Using Inclusion-Exclusion Principle

Task

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Let's imagine one situation that may be real for you. You have a tasty basket with:

  • 5 cookies with a cherry jam,
  • 5 chocolate cookies,
  • 10 chocolate candies,
  • 5 chocolate bars,
  • 15 biscuits,
  • 10 bottles of lemonade.

Calculate the probability that you will randomly pull out an item that includes chocolate, or a cookie.

We can divide our food into influential groups:

  1. The first one: cookies (ones with cherry jam and chocolate).
  2. The second one: is chocolate items (chocolate bars, candies, and chocolate cookies).

Follow the algorithm:

  1. Calculate the probability of pulling out a cookie.
  2. Calculate the probability of pulling out item that includes chocolate (chocolate sweet).
  3. Calculate the probability of pulling out a chocolate cookie.
  4. Calculate the resulting probability.

Solution

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Challenge: Solving the Task Using Inclusion-Exclusion Principle

Task

Swipe to start coding

Let's imagine one situation that may be real for you. You have a tasty basket with:

  • 5 cookies with a cherry jam,
  • 5 chocolate cookies,
  • 10 chocolate candies,
  • 5 chocolate bars,
  • 15 biscuits,
  • 10 bottles of lemonade.

Calculate the probability that you will randomly pull out an item that includes chocolate, or a cookie.

We can divide our food into influential groups:

  1. The first one: cookies (ones with cherry jam and chocolate).
  2. The second one: is chocolate items (chocolate bars, candies, and chocolate cookies).

Follow the algorithm:

  1. Calculate the probability of pulling out a cookie.
  2. Calculate the probability of pulling out item that includes chocolate (chocolate sweet).
  3. Calculate the probability of pulling out a chocolate cookie.
  4. Calculate the resulting probability.

Solution

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

How can we improve it?

Thanks for your feedback!

close

Awesome!

Completion rate improved to 3.85

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