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10. Eric is randomly drawing cards from a deck of 52. He first draws a red card,

ID: 3319269 • Letter: 1

Question

10. Eric is randomly drawing cards from a deck of 52. He first draws a red card, places it back in the deck, shuffles the deck, and then draws another card. Once again, he draws a red card. Which of the following statements is FALSE? Select only one

The probability of drawing a red card in the second draw is the same as that for the first draw.

The probability of drawing two red cards in the two draws in this scenario is 156/2652.

The probability of drawing a red card was 1/2 for both draws.

Each draw can be considered an independent event, since Eric reshuffled the deck.

Explanation / Answer

The probability of drawing two red cards in the two draws in this scenario is 156/2652

The statement is FALSE because the probability remains constant on both draws and is 1/2

So, P(2 red cards) = 1/2 x 1/2 = 1/4

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