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A card is selected at random with replacement from a standard pack of 52 playing cards. This process is repeated to give a total of

A card is selected at random with replacement from a standard pack of 52 playing cards. This process is repeated to give a total of 16 selections, and on each occasion the card is replaced in the deck before another selection is made. Calculate the probability that i. Exactly 5 hearts occur in the 16 selections ii. At least 3 hearts occur.

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