Theoretical Probability

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What is theoretical probability?

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Theoretical probability is the likelihood of an event occurring based on the possible outcomes in a perfect scenario, calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

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How do you calculate the probability of an event?

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The probability of an event is calculated using the formula: P(Event) = Number of favorable outcomes / Total number of possible outcomes.

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What is the probability of spinning an odd number on a spinner numbered 1 to 6?

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1/2, since there are 3 odd numbers (1, 3, 5) out of 6 total numbers.

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What is the probability of flipping a coin and getting tails?

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1/2, as there are 2 possible outcomes (heads or tails) and only 1 favorable outcome (tails).

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If a spinner has 8 equal sections and 1 is yellow, what is the probability of NOT landing on yellow?

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7/8, since there are 7 sections that are not yellow.

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What is the probability of spinning a red on a spinner with 5 equal sections, where only 1 section is red?

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1/5, as there is 1 favorable outcome (red) out of 5 total sections.

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In a bag with 30 pieces of candy (15 grape, 7 cherry, 3 lemon, 5 strawberry), what is the probability of drawing a lemon?

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1/10, since there are 3 lemons out of 30 total pieces of candy.

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What is the complement of an event in probability?

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The complement of an event is the probability that the event does not occur, calculated as 1 minus the probability of the event occurring.

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What is the probability of drawing a cherry candy from the same bag?

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7/30, since there are 7 cherry candies out of 30 total pieces.

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How does the concept of equally likely outcomes apply to theoretical probability?

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Equally likely outcomes mean that each outcome has the same chance of occurring, which is a key assumption in calculating theoretical probability.