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Conditional Probability: Questions & Answers A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not replaced. Let event B be choosing a black ball first and event R be choosing a red ball second. What are the following probabilities? P(B)= P(R | B)= P(B n R)= The probability that the first ball chosen is black and the second ball chosen is red is about ______% - ANSWER: 8/12 4/11 8/33 24% A dentist polls his patients and finds th...

Probability with Combinations and Permutations Questions & Answers A landscaper is selecting two trees to plant. He has five to choose from. Three of the five are deciduous and two are evergreen. What is the probability that he chooses trees of two different types? Express your answer as a percent. - ANSWER: 60% A lock is opened using a sequence of three numbers. The numbers range from 0 to 39, inclusive, and cannot be repeated within the sequence. What is the probability that all the nu...

Test Four - Probability Concepts Questions & Answers 0 - ANSWER: One card is selected at random from an ordinary deck of 52 playing cards. Events A, B, and C are defined below. Compute the conditional probabilities directly; do not use the conditional probability rule. Note that the ace has the highest value. The probability that a king is selected, given that a face card is not selected is 0.057 - ANSWER: A recent census found that 52.5 % of adults are female, 10.6 % are divorced, and 5.7...

Probability Questions & Answers 0 - ANSWER: There is 1 red marble, 3 green marbles and 4 blue marbles in a bag. What is the probability of picking a yellow? 0 - ANSWER: What is the probability of landing on 9? 0, or 0% - ANSWER: an impossible chance of an event happening is the same as a _________________ chance 1 - ANSWER: What is the probability of landing on an odd or even number? 1/1, 1, or 100% - ANSWER: a certain chance of an event happening is the same as a ______________ chance ...

Probability Questions & Answers A given B - ANSWER: The probability of A given B is found using the ratio P(A and B)/P(B). Addition Rule - ANSWER: P(A or B) = P(A) + P(B) - P(A and B) Complement - ANSWER: The set of all elements of the universal set that are not in A. Conditional Probability - ANSWER: The likelihood an event A occurs given that event B has already occured. Dependent Events - ANSWER: The events of one event affects the occurrence of the other event. Empty Set - ANSWER: Se...

Experimental Probability and Theoretical Probability Questions & Answers "What you're looking for" - ANSWER: Favorable Outcome 0 - ANSWER: 1 red marble, 3 green, 4 blue. what is the probability of picking a yellow? 1 - ANSWER: what is the probability of landing on an odd or even number? 1/10 - ANSWER: You have tiles numbered 0-9. In a given experiment you select 4, 4, 2, 3, 7, 8, 6, 9, 1, and 9. The probability of selecting a 3. 1/105 - ANSWER: You have 2 red beads, 4 green beads, and ...

Probability Questions & Answers A deck of playing cards has 52 cards, of which 12 are face cards. If you shuffle the deck well and turn over the top 3 cards, one after the other, what's the probability that all 3 are face cards? - ANSWER: 0.010 Since you turn one after another, you are NOT replacing. (12/52)(11/51)(10/50) A plumbing contractor obtains 60% of her boiler circulators from a company whose defect rate is 0.005, and the rest from a company whose defect rate is 0.010. What propo...

Probability Questions & Answers 0 - ANSWER: If you spin the spinner once, what is the probability that you will get a number greater than 8? 0.25 - ANSWER: an unlikely chance of an event happening is the same as approximately a ________________ chance 1/10 - ANSWER: A spinner and a fair number cube are used in a game. The spinner has an equal chance of landing on 1 of 5 colors: purple, blue, green, white, or orange. The faces of the cube are labeled 1 through 6. What is the probability of...

Probability Questions & Answers 0 - ANSWER: 1 red marble, 3 green, 4 blue. what is the probability of picking a yellow? 0/8 - ANSWER: what is the probability of landing on 9? 1/2 - ANSWER: 1 red marble, 3 green, 4 blue. what is the probability of not picking blue? 1/3 - ANSWER: what is the probability of rolling a dice and getting a 1 or 6? 1/4 - ANSWER: what is the probability of flipping a coin and getting heads? 11/13 - ANSWER: 5 red marbles, 6 green, 2 blue. what is the probability of ...

Probability Questions & Answers 0, or 0% - ANSWER: an impossible chance of an event happening is the same as a _________________ chance 1/1, 1, or 100% - ANSWER: a certain chance of an event happening is the same as a ______________ chance 1/2 - ANSWER: If you roll a 12-sided dice, what is the P(rolling an even number)? 1/2, 0.5, or 50% - ANSWER: equally likely chance of an event happening is the same as a __________ chance.........................