Probability Rules Quiz

Valeria and Jamie are playing a game where they roll a fair six-sided die. What approach should be used if the outcomes are equally likely?

• Use subjective probability

• Use classical approach: P(E) = N(E)/N(S)

• Use P(E or F) = P(E) + P(F)

• Use P(at least 1) = 1 – P(none)

Hattie and Jose are planning a school event, but they don't have any past data on attendance. If empirical data is not available, which probability should they use to estimate attendance?

• Use classical approach

• Use subjective probability

• Use P(E and F) = P(E) · P(F|E)

• Use P(at least 1) = 1 – P(none)

Jose and Ana are planning a party. They can either have a pizza party or a barbecue, but not both. What rule is applied to find the probability of having either a pizza party or a barbecue?

• Use P(E or F) = P(E) + P(F)

• Use P(E and F) = P(E) · P(F|E)

• Use subjective probability

• Use classical approach

Ana and Lauren are each rolling a fair six-sided die. Which rule is used to find the probability that Ana rolls a 3 and Lauren rolls a 5?

• Use P(E or F) = P(E) + P(F)

• Use P(E and F) = P(E) · P(F|E)

• Use subjective probability

• Use classical approach

Tracy and Mariana are planning a surprise party. They want to calculate the probability of at least one of them successfully inviting all their friends. What is the formula for calculating this probability?

• P(at least 1) = 1 – P(none)

• P(E or F) = P(E) + P(F)

• P(E and F) = P(E) · P(F|E)

• Use subjective probability

When should the classical approach be used?

• When outcomes are equally likely

• When events are independent

• When empirical data is available

• When events are disjoint

Miah and Alexia are planning a party. What should they consider if they are deciding on activities that involve 'OR', 'AND', or 'At Least'?

• Whether events are disjoint

• Whether outcomes are equally likely

• Whether empirical data is available

• Whether events are subjective

Valeria and Kaitlyn are planning a party. Valeria is in charge of the decorations, and Kaitlyn is in charge of the food. They both have separate budgets, but they also have a shared budget for items that overlap, like table settings. Which probability rule is used to calculate the total budget when the budgets are not disjoint?

• Use P(E or F) = P(E) + P(F) – P(E and F)

• Use classical approach

• Use subjective probability

• Use P(at least 1) = 1 – P(none)

Lisa and Victoria are playing a game of dice. What is the formula for the classical approach to find the probability of rolling a 3?

• P(E) = N(E)/N(S)

• P(E or F) = P(E) + P(F)

• P(E and F) = P(E) · P(F|E)

• P(at least 1) = 1 – P(none)

Victoria and Nagely are planning a joint birthday party. They want to know the probability of it raining on both of their birthdays, given that it rains on Victoria's birthday. What should they use if the events are not independent?

• Use P(E and F) = P(E) · P(F|E)

• Use P(E or F) = P(E) + P(F) – P(E and F)

• Use classical approach

• Use subjective probability