Back to Exercise: Develop a probability model and use it to find probabilities of events

Probability Models: Uniform and Non-Uniform

Grade 7·21 problems·~30 min·Common Core Math - Grade 7·standard·7-sp-c-7

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Recall

Which set correctly represents the complete sample space when rolling a standard six-sided die?

{1, 2, 3, 4, 5, 6}

{1, 2, 3, 4}

{odd, even}

{1, 2, 3, 4, 5, 6, 7}

A probability model has exactly three outcomes: A, B, and C. The model assigns $P(A) = 0.35$ and $P(B) = 0.25$ . All probabilities must sum to 1. What is $P(C)$ ?

A die is rolled 60 times. Face 4 appears 12 times. Express the relative frequency of face 4 as a decimal.

Fluency

Which of the following is a valid probability model for a spinner with three colors?

$P(\text{Red}) = 0.5$ , $P(\text{Blue}) = 0.3$ , $P(\text{Green}) = 0.2$

$P(\text{Red}) = 0.4$ , $P(\text{Blue}) = 0.35$ , $P(\text{Green}) = 0.35$

$P(\text{Red}) = 0.6$ , $P(\text{Blue}) = 0.3$ , $P(\text{Green}) = 0.2$

$P(\text{Red}) = 0.5$ , $P(\text{Blue}) = 0.6$

A fair 8-sided die has faces numbered 1 through 8. All outcomes are equally likely. Using a uniform probability model, compute the probability of rolling a number greater than 5. Express your answer as a fraction.

A bag contains 4 red tiles, 6 blue tiles, and 2 green tiles. One tile is selected at random; every tile is equally likely to be chosen. Using a uniform probability model, compute $P(\text{blue})$ as a fraction in lowest terms.

A spinner is spun 80 times. Results: Red = 28, Blue = 32, Yellow = 20. Build a non-uniform probability model from this data. What is $P(\text{Yellow})$ expressed as a decimal?

A non-uniform spinner model assigns $P(\text{Red}) = 0.35$ , $P(\text{Blue}) = 0.40$ , and $P(\text{Yellow}) = 0.25$ . What is the probability of landing on Red or Blue?

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