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Leo is going to use a random number generator 400 times. Each time he uses it, he will get a 1,2,3,4, or 5 . What is the best prediction for the number of times that Leo will get an odd number? Choose 1 answer: (A) Exactly 133 times (B) Close to 133 times but probably not exactly 133 times (C) Exactly 240 times (D) Close to 240 times but probably not exactly 240 times

Leo is going to use a random number generator 400400 times. Each time he uses it, he will get a 1,2,3,4 1,2,3,4 , or 55 .\newlineWhat is the best prediction for the number of times that Leo will get an odd number?\newlineChoose 11 answer:\newline(A) Exactly 133133 times\newline(B) Close to 133133 times but probably not exactly 133133 times\newline(C) Exactly 240240 times\newline(D) Close to 240240 times but probably not exactly 240240 times

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Q. Leo is going to use a random number generator 400400 times. Each time he uses it, he will get a 1,2,3,4 1,2,3,4 , or 55 .\newlineWhat is the best prediction for the number of times that Leo will get an odd number?\newlineChoose 11 answer:\newline(A) Exactly 133133 times\newline(B) Close to 133133 times but probably not exactly 133133 times\newline(C) Exactly 240240 times\newline(D) Close to 240240 times but probably not exactly 240240 times
  1. Determine odd number probability: Determine the probability of getting an odd number from the random number generator.\newlineThe random number generator produces numbers 1,2,3,4,1, 2, 3, 4, and 55. The odd numbers in this set are 1,3,1, 3, and 55.
  2. Calculate probability of odd number: Calculate the probability of getting an odd number. There are 33 odd numbers out of 55 possible outcomes, so the probability of getting an odd number is 35\frac{3}{5}.
  3. Predict odd number occurrences: Predict the number of times Leo will get an odd number after 400400 uses.\newlineTo find the expected number of times Leo will get an odd number, multiply the total number of uses by the probability of getting an odd number.\newlineExpected number of odd outcomes =(Probability of odd number)×(Total number of uses)= (\text{Probability of odd number}) \times (\text{Total number of uses})\newlineExpected number of odd outcomes =35×400= \frac{3}{5} \times 400
  4. Perform expected outcome calculation: Perform the calculation to find the expected number of odd outcomes.\newlineExpected number of odd outcomes = (35)×400=3×80=240(\frac{3}{5}) \times 400 = 3 \times 80 = 240
  5. Determine best prediction: Determine the best prediction based on the expected number of odd outcomes.\newlineThe best prediction for the number of times Leo will get an odd number is close to 240240 times, but due to the nature of randomness, it is unlikely to be exactly 240240 times.

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