MAT 211-61 SHOW WORK. No work, No credit. Use proper mathematical notations. Tes
ID: 3361572 • Letter: M
Question
MAT 211-61 SHOW WORK. No work, No credit. Use proper mathematical notations. Test 2 Name 1. A card is randomly selected from a standard deck (52 playing cards), Find the probability that the card is between 5 and 7 (inclusive) or is diamond. 2. A horse race has eight entries. Assuming that there are no ties, in how many different orders can the horses finish? 3. A jury consists of seven men and eight women. Three are selected at random for an interview. Find the following; a) The probability that the three selected are all men. b) Number of ways choosing two men and one woman. c) The Probability that no man is selected. d) The Probability that at least two men are selected.Explanation / Answer
Question 1:
There are a total of 13 diamond cards in a deck of cards
Number of cards which are between 5 and 7 ( inclusive ) is computed as: 4*3 = 12
Number of cards which are between 5 and 7 ( inclusive ) and also diamonds = 12/4 = 3 cards
Therefore using law of addition of probability, the probability of getting either a diamond or between 5 and 7 ( inclusive ) is computed as:
= (13 + 12 - 3) / 52
= 0.4231
Therefore 0.4231 is the required probability here.
Question 2:
The number of arrangements of 8 horses is given as the permutation of 8 items = 8! = 40320
Therefore there are 40320 is the number of arrangements in which the horses could finish.
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