Please help! I don’t understand this :(

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  see attachment

Step-by-step explanation:

The "experimental probability" is the ratio of actual outcomes of interest to the number of trials. It is based on actually performing the selection over and over some number of times. The "theoretical probability" will be the fraction that is the outcomes of interest divided by the total number of possible outcomes.

We note that Mel's purse contains a total of 6 +8 +4 +7 = 25 coins. The theoretical probability of selecting any given coin is then 1/25.

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Orange

A. The experimental probability of selecting a dime is ...

  number of dime outcomes / number of trials = 30/150 = 1/5

B. The theoretical probability of selecting a dime is ...

  (4 dimes)/(25 coins) = 4/25

C. The assumption in probability experiments is that randomly selected outcomes will always approach the theoretical probability in their frequency of occurrence.

See the attachment for the appropriate answer choices.

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Purple

A. The experimental probability of selecting a penny is ...

  number of penny outcomes / number of trials = 45/200 = 9/40

B. The theoretical probability of selecting a penny is ...

  (6 pennies)/(25 coins) = 6/25

C. The difference between these values is ...

  6/25 -9/40 = 48/200 -45/200 = 3/200

See the attachment for the appropriate answer choices.