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Jose is going to use a random number generator 500 times. Each time he uses it, he will get a 1,2,3, or 4. Complete the following statement with the best prediction. Jose will get something other than a 2 ... Choose 1 answer: (A) Exactly 250 times (B) Close to 250 times but probably not exactly 250 times (C) Exactly 375 times (D) Close to 375 times but probably not exactly 375 times

Jose is going to use a random number generator 500500 times. Each time he uses it, he will get a 1,2,3 1,2,3 , or 44.\newlineComplete the following statement with the best prediction.\newlineJose will get something other than a 22 ...\newlineChoose 11 answer:\newline(A) Exactly 250250 times\newline(B) Close to 250250 times but probably not exactly 250250 times\newline(C) Exactly 375375 times\newline(D) Close to 375375 times but probably not exactly 375375 times

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Q. Jose is going to use a random number generator 500500 times. Each time he uses it, he will get a 1,2,3 1,2,3 , or 44.\newlineComplete the following statement with the best prediction.\newlineJose will get something other than a 22 ...\newlineChoose 11 answer:\newline(A) Exactly 250250 times\newline(B) Close to 250250 times but probably not exactly 250250 times\newline(C) Exactly 375375 times\newline(D) Close to 375375 times but probably not exactly 375375 times
  1. Understand probability: Understand the probability of getting a number other than 22. Since there are four possible outcomes (11, 22, 33, or 44) and only one of them is a 22, the probability of getting a number other than 22 is the probability of getting a 11, 33, or 44. There are three favorable outcomes out of four possible outcomes. Probability of not getting a 22 = Number of favorable outcomes / Total number of outcomes = 1111.
  2. Predict number of times: Predict the number of times Jose will get a number other than 22.\newlineTo find the expected number of times Jose will get a number other than 22, multiply the total number of trials by the probability of not getting a 22.\newlineExpected number of times == Total number of trials ∗* Probability of not getting a 22 =500×(3/4)= 500 \times (3/4).
  3. Calculate expected number: Calculate the expected number of times Jose will get a number other than 22.\newlineExpected number of times = 500×(34)=500×0.75=375500 \times \left(\frac{3}{4}\right) = 500 \times 0.75 = 375.
  4. Choose best prediction: Choose the best prediction based on the calculation.\newlineThe calculation shows that the expected number of times Jose will get a number other than 22 is 375375. However, since the outcome of each trial is random, it is unlikely to be exactly 375375 times. The best prediction is that it will be close to 375375 times but probably not exactly 375375 times.

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