Uniform+Probability+Distribution

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Uniform Probability Distribution

Uniform probability distribution is a type of probability distribution that has same probability for all variables. Example of equal probability problem If this problem is represented as probability distribution, then x variable would be the value of diamond cards.
 * In the double coin toss example in Probability Distribution and dice roll problem in Cumulative Probability Distribution the probability for variables were not all equal.
 * In uniform probability, they all the probabilities are equal.
 * In a deck with only diamonds, what is the probability of drawing a diamond with value no greater than 5? (ace=1)
 * Total numbers of cards that fit the criteria: 5 (ace, 1, 2, 3, 4, and 5)
 * Total number of cards: 13
 * Answer: 5/13

Because you are finding the probability of picking a card with value no gerater than 5, the sum of p(1) + p(2) +p(3) +p(4) + p(5) will give you the answer.
 * Value ||  Probability  ||
 * 1 ||  1/13  ||
 * 2 ||  1/13  ||
 * 3 ||  1/13  ||
 * 4 ||  1/13  ||
 * 5 ||  1/13  ||
 * 6 ||  1/13  ||
 * 7 ||  1/13  ||
 * 8 ||  1/13  ||
 * 9 ||  1/13  ||
 * 10 ||  1/13  ||
 * 11 ||  1/13  ||
 * 12 ||  1/13  ||

Draw a table representing uniform probability distribution and answer the question below.


 * In a standard 52 card deck, what is the probability that value of the card you draw is greater than 10?
 * A) 8 / 52
 * B) 12 / 32
 * C) 36 / 32
 * D) 40 / 36
 * E) None of the above

Answer:
 * Value ||  Probability  ||
 * 1 ||  4/52  ||
 * 2 ||  4/52  ||
 * 3 ||  4/52  ||
 * 4 ||  4/52  ||
 * 5 ||  4/52  ||
 * 6 ||  4/52  ||
 * 7 ||  4/52  ||
 * 8 ||  4/52  ||
 * 9 ||  4/52  ||
 * 10 ||  4/52  ||
 * 11 ||  4/52  ||
 * 12 ||  4/52  ||

P(x>10) = p(11) + p(12) = (4/52) + (4/52) = 8/52