One card is selected from an ordinary deck of 52 cards. Find the conditional probabilities: a) A spade given the card is black_____________ b) A spade given the card is red____________ c) A 4 given the card is not a picture card

I get to draw two buttons from a bag with 3 Cardinal and 6 Gold buttons (without replacement, order does not matter).What is the probability that I get one of each color?  a. 1/2 b. 5/9 c. 4/9 d. 1/3 e. None of the other answers is correct.

Troy has two number cubes each with the numbers 1 through 6 on it. Assuming each side is equally likely to appear when he rolls the cubes, he rolls both cubes and adds the two cubes together, find the following probabilities. A. P(rolls sum of 8) B. P(rolls a sum that is an even number) C. P(rolls sum that is a factor of 12) P(rolls a sum 8) P(rolls an even number) P(rolls a factor of 12) C 10

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Multiple-choice questions each have five possible answers ( a, b, c, d )​, one of which is correct. Assume that you guess the answers to three such questions. a. Use the multiplication rule to find ​P(CWC​), where C denotes a correct answer and W denotes a wrong answer. b. Beginning with CWC​ ,make a complete list of the different possible arrangements of two correct answers and one wrong answer ,then find the probability for each entry in the list. P(CWC​)= ​P(WCC​)= ​P(CCW)=   c. Based on the preceding​ results, what is the probability of getting exactly two correct answers when three guesses are​ made?