SP7.3
Demonstrate an understanding of theoretical and experimental probabilities for two independent events where the combined sample space has 36 or fewer elements.

[C, ME, PS, R, T]

Indicators for this outcome
(a)

Explain what a probability tells about the situation to which it refers.

(b)

Provide an example of two independent events, such as:

  • spinning a four section spinner and an eight-sided die
  • tossing a coin and rolling a twelve-sided die
  • tossing two coins
  • rolling two dice

and explain why they are independent.

(c)

Identify the sample space (all possible outcomes) for each of two independent events using a tree diagram, table, or another graphic organizer.

(d)

Determine the theoretical probability of an outcome involving two independent events.

(e)

Conduct a probability experiment for an outcome involving two independent events, with and without technology, to compare the experimental probability to the theoretical probability.

(f)

Solve a probability problem involving two independent events.

(g)

Explain how theoretical and experimental probabilities are related and why they cannot be assumed to be equal.

(h)

Represent a probability stated as a percent as a fraction or a decimal.

(i)

Represent a probability stated as a fraction or decimal as a percent.

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