Probability based on Random Selection

A student taking a multiple choice examination does not know the answer to two questions. All have five choices for the answer. For one of the two questions the student can eliminate two answer choices as incorrect but has no idea about the other answer choices for that question. For the other question, the student has no clu ...continues

Probability Based on Order and Random Selection

Four couples, each consisting of one man and one woman, are seated at a circular table. Assuming that each different order is equally likely, find the probability that: a) Andrew is sitting next to his partner b) Benjamin, Charles and David are sitting together (in any order) c) The men and women sit alternately

Probability : Fair and Biased Coins

A hat contains n coins, f of which are fair and b of which are biased to land on heads with a probability of 2/3. A coin is drawn from the hat and tossed twice. The first time it lands heads and the second time it lands tails. Given this information, what is the probability that a fair coin has been chosen?

Probability of Picking Groups of Cards

Find the probability that a hand of 13 cards dealt from a well shuffled pack of 52 contains: a) Exactly two kings and one ace b) Exxactly one ace given that it contains exactly two kings c) Exactly 10 spades d) At least two diamonds given that it contains exactly 3 spades and 4 hearts.

Probability Based on Random Selection

There are three boxes, each with two drawers. Box I has a gold coin in each drawer Box II has a silver coin in each drawer Box III has a gold coin in one drawer and a silver coin in the other. One box is chosen at random and a drawer is opened from that box. If it contains a gold coin, find the probability that it is in ...continues

Probability

Show that the probability that exactly one of the events A and B occurs is (see attached).

Probability

FULL WORKINGS PLEASE. Clair and Helen frequently play each other in a series of games of table tennis. Records of the outcomes of these games show that whenever they play a series of games, Clair has a probability 0.6 of winning the first game and that in every subsequent game in the series, Clair's probability of winning the ...continues

Probability

Carol and David decide to play a game as follows: Carol draws and keeps a card from a shuffled pack number 1 to 6. David the draws a card from the remaining 5. The winner is the one holding the card with the highest number. a) Determine whether or not there is an advantage to drawing the first. If the rules are no ...continues

Shannon's sampling functions

Parts a) & b) from a previously posted problem, with an updated description. Please consider Part c), posted as a separate problem, if a solution to Parts a) and b) is achieved.

Hydrolics problem. Trying to figure out how far a raft will sink in water

given: raft consists of 4 sealed barrels laying on their sides with demensions of 21 in. diameter, 3 ft. in length, and weighing 30 lbs. each. The barrels are attached by a wooden deck weighing 179 lbs. find: how far does the raft sink below the waters surface with a specific weight of the water being 62.38 lb./cubic foot. ...continues