Simple Probability and Predictions

Front

What is theoretical probability?

Back

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

Front

How do you calculate the probability of selecting a specific item from a group?

Back

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

Front

If a bag contains 5 green, 2 red, and 3 blue jelly beans, what is the total number of jelly beans?

Back

Total jelly beans = 5 (green) + 2 (red) + 3 (blue) = 10.

Front

What is the theoretical probability of selecting a red jelly bean from a bag of 10 jelly beans?

Back

Theoretical probability = 2 (red) / 10 (total) = 1/5.

Front

If you spin a spinner 35 times and land on yellow 20% of the time, how many times would you expect to land on yellow?

Back

Expected times = 35 * 0.20 = 7 times.

Front

What is a prediction in probability?

Back

A prediction is an estimate of the likelihood of an event occurring based on previous data or theoretical calculations.

Front

If Tyler pulls a card from a set of 3 different colored cards 50 times, how do you predict the number of green cards in 100 pulls?

Back

If he picks a green card 50% of the time, in 100 pulls, he would expect to pick 50 green cards.

Front

How do you set up a proportion to predict outcomes?

Back

Set up a ratio of the known outcomes to the total and equate it to the unknown outcomes to the new total.

Front

If Tom solved 9 out of 15 questions correctly, how do you predict his performance on a 35-question test?

Back

Expected correct answers = (9/15) * 35 = 21 questions.

Front

What is the probability of landing on green or red if a spinner has 2 green and 4 red sections?

Back

Total sections = 2 (green) + 4 (red) = 6. Probability = (2 + 4) / 6 = 6/6 = 1.