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

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

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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)...

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...

Pr[A]=13 Pr[A1]=112 Pr[A2]=14 Pr[1|B]=12 Pr[2|B]=12 Pr[B1]=16 Pr[B2]=16 Pr[C1]=112 Pr[C2]=14 Find the following missing probabilities: (1) Pr[1|A]= (2)...

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...

Of a group of children, 0.4 are boys and 0.6 are girls. Of the boys, 0.7 have brown eyes; of the girls, 0.4 have brown eyes. A child is selected at random from the group. (a) Find the probability...

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...

A card is drawn from a pack of 52 playing cards. Find the probability that the card will be a king, given that it is a face card. (The face cards are the jacks, queens, and kings. Enter your probability...

involving drawing calculators from a box of working and broken calculators. Assume that the box contains 14 calculators: 12 that work and 2 that do not work. A sample of 3 calculators is selected...

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