A test consists of three questions on English, 5 questions about the history of the United States and 7 questions on algebra.?

Each question is placed in an envelope and put in a box. Every participant is required to randomly select two envelopes from the box. Find the probability that the first participant chooses a) the first envelope with a question in English and the second envelope with a question United States History. b) Two envelopes with the same subject.

There are 3 +5 +7 = 15 questions in total. A) The first envelope to English: There are English questions 3 and 15 envelopes, therefore, the probability is 3 / 15 The second in the history of the United States: There are 5 questions about the history of the United States, but now there are only 14 questions left (an envelope was removed to the first question). Therefore, the probability is 5 / 14 to get both the English Tobe first and the second to be the history of the United States you need to multiply the individual probabilities = 3 / 15 x 5 / 14 = 15 / 210 = 1 / 14 = 7.14% b) Similarly the chance of two questions in English = 3 / 15 x 2 / 14 (as well as an envelope was removed after Question 1, leaving 14 to choose from one of the "English" issues has also been removed leaving only 2) 3 / 15 x 2 / 14 = 6 / 210 probability of two issues of U.S. History = 5 / 15 x 4 / 14 = 20/210 Chance of Algebra 2 = 7 / 15 x 6 / 14 = 42/210 then the chance of getting two of the same subject = the sum of these three scenarios = 6 / 210 20 / 210 + 42 / 210 = 68/210 = 32.38%, a basic rule: When you want two instances individual 'two' occurs – "multiply" the individual probabilities. When you can have "any" individual cases, then "add" individual probabilities.

English Lesson: listening, vocab, with quiz!

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