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Dependent probability
Dependent probability 256
Description
Exercise Name: Dependent probability
Math Missions: High school statistics and probability Math Mission, Precalculus Math Mission, Mathematics III Math Mission
Types of Problems: 2

The Dependent probability exercise appears under the High school statistics and probability Math Mission, Precalculus Math Mission, and Mathematics III Math Mission. This exercise practices the multiplication rule for probability with dependent events.

Types of Problems

There are two types of problems in this exercise:

  1. Select from a group: In this problem a situation is described where people or marbles are being selected from a collection. The user finds the probability of a particular event and enters it in the box provided.
    Depprob1

    Select from group

  2. Conditions met: This problem describes a situation with multiple outcomes and another situation based on those outcomes. The user is expected to answer the probability in the box provided.
    Depprob2

    Conditions met

Strategies

This exercise is medium to get accuracy badges because conditional probability can be subtle. With a picture, they are not terrible though. Speed badges are medium because the techniques can be mechanical once user gets into the problem types and see the same things occurring even in different situations.

  1. Drawing a picture can help in both problems to better visualize what is going on.
  2. Don't forget, when user removed an object from a group the denominator will always change (and the numerator may or may not).
  3. For Conditions met a tree diagram can be extraordinarily helpful (but time consuming).

Real-life Applications

  1. Probability, along with decimals, percents, and fractions are used to determine the probability of a basketball player making a shot.
  2. The business world is relying on probability and statistics more and more every day.
  3. Many of the problems in this exercise could be viewed as real-life applications.
  4. Statistics can be seen more frequently than calculus in every day life.

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