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A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?
a.) 111
b.) 125
c.) 143
d.) 250

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The number of times a 4 will be drawn from the pile is 125.

Option b) 125 is the correct answer.

Step-by-step explanation:

  • The pile contains 8 cards with numbers from 1 to 8 in it.
  • The possibility to take 4 from (1,2,3,4,5,6,7,8) is only 1 time.
  • The total possible outcomes are 1,2,3,4,5,6,7,8 = 8 outcomes.

Probability = Required outcome / total outcomes

⇒ Probability for a trail = 1/8

⇒ Probability for 1000 trails = (1/8)[tex]\times[/tex]1000 = 125

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