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if a single fair die is rolled find the probability that the number rolled is a 5 Given that it is odd

In a school, the probability that a student takes environmental science and geography is 0.25. The probability that a student takes environmental science is 0.72. What is the probability that a student...

A jar contains 11 large red marbles, 4 small red marbles, 8 large blue marbles, and 6 small blue marbles. If a marble is chosen at random, which of the conditional probabilities is larger, P(red|large)...

select a circle . these are in circles...1,2,3,4,5,6 Assume that one circle is selected at random and each circle is equally likely to be selected. Determine the probability of selecting...

68% of the citizens approve of a governor. Only 47% of the citizens approve of both the governor and the lieutenant governor. If a randomly selected citizen approves of the governor, what is the probability...

If the probability of winning a carnival game is 3/7 and you play the game two times, what is the probability that you will win both times or you will lose both times?

68% of the citizens approve of a governor. Only 47% of the citizens approve of both the governor and the lieutenant governor. If a randomly selected citizen approves of the governor, what is the probability...

Suppose three cards are drawn at random from a standard deck. What is the probability they are all face cards?

A card is drawn at random from a deck. What's the probability that it is a jack given that it is a face card?

What is the probability that a rolled die is a 3 given that it is: a) odd? b) even? I really don't understand this, and how to solve this using conditional probability and...

The probability that Billy would pass at least one test is 0.9. The probability that he passes both tests is 0.7. The tests are of equal difficulty (that is, the probability that Billy passes test...

, with replacement, what is the probability of drawing a face card second given a face card was drawn first?

A certain genetic condition affects 5% of the population in a city of 10,000. Suppose there is a test for the condition that has an error rate of 1% (i.e., 1% false negatives and 1% false positives)...

A bridge hand has been dealt. Are the following two conditional probabilities equal? If a given hand has an ace, what is the probability that the given hand has a second ace? Given that the hand has...

A student takes a multiple-choice exam. Suppose for each question he either knows the answer or gambles and chooses an option at random. Further suppose that if he knows the answer, the probability...

Assume that you have 10 mice in the cage: 4 white males, 3 gray females, and 3 gray males. Two mice are selected simultaneously and at random, and their colors are noted. What is the probability...

involving the selection of two students from a committee of students. Assume that the committee is made up of 2 males and 5 females. Two are selected at random, and a random variable X is defined...

Assume that the machine yields the item selected 70 percent of the time, and returns nothing 30 percent of the time. Three individuals attempt to use the machine. Let X be defined as the number of...

In a second-semester English class, 40% of the students are sophomores and the rest freshmen; 25% of the sophomores are repeating the course and 15% of the freshmen gained admission to the course...

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