Determine whether the events A and B are independent. Two cards are selected at random from a standard deck of 52 cards without replacement. Event A: An ace is selected on the first draw Even B: An ace is selected on the second drawNoYes

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amberlynnwallac2152 amberlynnwallac2152

19-12-2022
Mathematics

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Determine whether the events A and B are independent. Two cards are selected at random from a standard deck of 52 cards without replacement. Event A: An ace is selected on the first draw Even B: An ace is selected on the second drawNoYes

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abhinavjh321 abhinavjh321 · Answer 1 · 2022-12-26T04:54:53-05:00

the probability of selecting an ace on the second draw is the same as the probability of selecting an ace on the first draw.

The events A and B are independent because they do not have any effect on each other. The selection of one card does not change the probability of the other card being selected. Each draw is independent of the other, and the selection of the first card does not affect the selection of the second card. Therefore, the probability of selecting an ace on the second draw is the same as the probability of selecting an ace on the first draw.

In order to determine whether two events are independent, it is important to consider whether one event affects the probability of the other event occurring. In this case, the selection of one card does not affect the probability of the other card being selected, so the draws are independent. This means that the probability of selecting an ace on the first draw is the same as the probability of selecting an ace on the second draw, and therefore the events A and B are independent.

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