Describe a probability situation (you can find an example in your textbook) wher

Question

Describe a probability situation (you can find an example in your textbook) where it is necessary to use the addition rule. Do not give the solution. Describe a probability situation (you can find an example in your textbook) where it is necessary to use the multiplication rule. Do not give the solution. What was different about these two situations? Give some tips to your classmates on how you know when to use the addition rule and when to use the multiplication rule. Read "Intuitive Approach to Conditional Probability" on page 170 of your text and example 2. Provide an example of the use of conditional probability. Provide a table similar to the one used in example 2 (you may find an example in your textbook or elsewhere). Here you should give the solution as well. Read page 176 in your textbook for an overview of the counting principles. Describe a situation where it is necessary to use the permutation rule. Do not give the solution. Describe a situation where it is necessary to use the combination rule. Do not give the solution. Explain to your classmates how you know when to use a permutation versus when to use a combination when counting.

Explanation / Answer

Addition rule: probability of yellow light at signal is 0.04 and probability of green light is 0.05, find probbaility of green or yellow light. (The events are disjoint, that is green and yello wlight cannot simultaneously lit at signal, so perform addition rule).

Multiplication rule: Probability of rechargeable battery is 0.25 and probability of regular battery is 0.75. Find probability of rechargeable and regular battery. (The events are independent, therefore, use multiplication rule).

Conditional probability: Suppose, probability of students living on campus is 0.56, probability of students who eat campus meal is 0.62 and probability of students who have both is 0.42. Find the probability of students who live on campus given that the student has meal plan.

P(L|M)=P(L intersection M)/P(M)=0.42/0.62=0.677.

Combination rule: Out of 52 cards, what is the probability of 3 hearts.

Permutation: Out of 6 boys and 3 girls, if a teacher picks at random, what is the probability of everyone in the group to be boy.

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