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Answer:

125 times

Step-by-step explanation:

Here, we are required to determine how many times is the number 4 expected if a normal dice is rolled 900 times.

  • The number of times the number 4 is expected when a normal dice is rolled 900 times is; 900(1/6) = 150times.

For a normal dice, there are six faces labelled numbers; 1, 2, 3, 4, 5, 6.

The probability of obtaining the number 4 each time the die is rolled is; 1/6

  • At the first roll of the normal dice, the probability of obtaining the number 4 is 1/6.

  • At the first roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the second roll of the normal dice, the probability of obtaining the number 4 is 1/6.

  • At the first roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the second roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the third roll of the normal dice, the probability of obtaining the number 4 is 1/6.

The probability of obtaining 4 in all 3 rolls is;

(1/6 + 1/6 + 1/6) = 3(1/6).

Ultimately, the number of times the number 4 is expected when a normal dice is rolled 900 times is; 900(1/6) = 150times.

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