Simple Probability and Predictions

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What is theoretical probability?

Back

Theoretical probability is the likelihood of an event happening based on all possible outcomes. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Tags

CCSS.7.SP.C.7A

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What is experimental probability?

Back

Experimental probability is the likelihood of an event happening based on actual experiments or trials. It is calculated by dividing the number of times an event occurs by the total number of trials.

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How do you calculate the theoretical probability of landing on green or red in a spinner with 6 equal sections, 2 of which are green and 2 are red?

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The theoretical probability is 2 (green) + 2 (red) = 4 favorable outcomes out of 6 total sections, which simplifies to 2/3.

Tags

CCSS.7.SP.C.7B

Front

If a spinner has 3 sections: 1 green, 1 red, and 1 blue, what is the theoretical probability of landing on green?

Back

The theoretical probability of landing on green is 1 favorable outcome (green) out of 3 total sections, which is 1/3.

Tags

CCSS.7.SP.C.7A

Front

If 100 students chose animals and 60 chose giraffes, what is the predicted number of students choosing giraffes if 250 students are surveyed?

Back

If 60 out of 100 chose giraffes, then 60% would choose giraffes. For 250 students, the prediction is 60% of 250, which is 150 students.

Tags

CCSS.6.RP.A.3C

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What is the best prediction for the number of green cards Tyler would pick in 100 trials if he picked 25 green cards in 50 trials?

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If Tyler picked 25 green cards in 50 trials, the best prediction for 100 trials would be 50 green cards.

Tags

CCSS.7.SP.C.6

Front

How do you find the experimental probability of selecting a red jelly bean from a bag containing 5 green, 2 red, and 3 blue jelly beans?

Back

The experimental probability of selecting a red jelly bean is 2 (red) out of 10 (total), which simplifies to 1/5.

Tags

CCSS.7.SP.C.6

Front

What is the total number of outcomes when rolling a six-sided die?

Back

The total number of outcomes when rolling a six-sided die is 6.

Front

If a spinner has 4 equal sections: 1 green, 1 red, 1 blue, and 1 yellow, what is the probability of landing on blue?

Back

The probability of landing on blue is 1 favorable outcome (blue) out of 4 total sections, which is 1/4.

Tags

CCSS.7.SP.C.7A

Front

What is the formula for calculating probability?

Back

Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

Tags

CCSS.7.SP.C.7A