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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

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

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Full solution

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
  1. Identify Odd Numbers: Let's identify the odd numbers in the range from 11 to 55. The odd numbers are 11, 33, and 55.
  2. Calculate Probability: Now, we need to calculate the probability of getting an odd number in a single trial. There are 33 odd numbers out of 55 possible outcomes, so the probability of getting an odd number is 35\frac{3}{5}.
  3. Find Expected Value: To find the expected number of times Leo will get an odd number in 400400 trials, we multiply the total number of trials by the probability of getting an odd number. The expected value is 400×35400 \times \frac{3}{5}.
  4. Perform Calculation: Performing the calculation: 400×(35)=400×0.6=240400 \times \left(\frac{3}{5}\right) = 400 \times 0.6 = 240.

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