1. \"The Sorry State Lottery requires you to select five different numbers from
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Question
1. "The Sorry State Lottery requires you to select five different numbers from 0 through 66. (Order is not important.) You are a Big Winner if the five numbers you select agree with those in the drawing, and you are a Small-Fry Winner if four of your five numbers agree with those in the drawing. (Enter your answers as exact answers.)
What is the probability of being a Big Winner?
What is the probability of being a Small-Fry Winner?
What is the probability that you are either a Big Winner or a Small-Fry Winner?"
"Suppose that a monkey is seated at a computer keyboard and randomly strikes the 26 letter keys and the space bar. Find the probability that its first 39 characters (including spaces) will be "to be or not to be that is the question." (Leave your answer as a formula.)"
The Sorry State Lottery requires you to select five different numbers from 0 through 66. (Order is not important.) You are a Big Winner if the five numbers you select agree with those in the drawing, and you are a Small-Fry Winner if four of your five numbers agree with those in the drawing. (Enter your answers as exact answers.) What is the probability of being a Big Winner? What is the probability of being a Small-Fry Winner? What is the probability that you are either a Big Winner or a Small-Fry Winner?Explanation / Answer
Q1 ) The total number of possible outcomes are
C(67,5) =9657648
a) To be a Big winner you must choose all 5 of the 5 winning numbers , therefore favorale number of cases is 1
The probability of being a Big Winner = 1/9657648
b) To be a Small-Fry Winner you must choose 4 of the 5 winning numbers and then choose 1 more number from the 62 non-winning balls.
Therefore the number of ways are = C(4,5)*C(62,1) = 5*62 =310
Thus, the probability of being a Small-Fry Winner is = 310/9657648
c) The events are mutually exclusive,
Therefore, the probability that you are either a Big Winner or a Small-Fry Winner is
=311/9657648
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