When playing games of chance like roulette, people often say that a particular outcome is due, implying that one income is more likely because it has not happened in a while. This is fallacy because in these examples of outcome of each trial is: a. independent b. dependent c. subjective d. interrelative

Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store previously. She can’t recall the brand name and does not wish to return home to find the old can of paint. So, she selects two of the three brands of paint at random and buys them. What is the probability that she matched the paint brand? Her husband also goes to the paint store and fails to remember what brand to buy. So, he also purchases two of the three brands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint. (Hint: Are the husband’s selections independent of the wife’s selections?)

Find the complement of each of the given probabilities:The complement of P(A) = 4%:      = %The complement of P(~A) = 1%:      = %The complement of P(A|B) = 99%:          = %The complement of P(A|~B) = 43%:          = %The complement of P(~A|~B) = 97%:          = %

a. What is the probability that a water source is polluted if the inspection reports a negative results? b. What is the probability that the water is not polluted if the inspection reports that there is no red alerts?

Week 7 Homework Question Q1. There exists a deck of 15 cards contain 5 red cards, 5 blue card and 5 green cards. The cards are in a random order, and I turn them over, one at a time: Card 1, Card 2, ..., Card 15 without replacement. In this case, evaluate the following probabilities. i. Card 3 is red ii. Card 1 is red and Card 2 is not blue iii. Card 5 is blue or Card 8 is green iv. Card 2 is green given that Card 1 is green v. A colour appears more than once in the first 3 cards

Diane has decided to play the following game of chance. She places a $1 bet on each repeated play of the game in which the probability of her winning $1 is .4. She has further decided to continue playing the game until she has either accumulated a total of $3 or has lost all her money. What is the probability that Diane will eventually leave the game a winner if she started with a capital of $1? Of $2? capital of $1 capital of $2