The probability of drawing two aces from a standard deck is 0.0059. We know this probability, but we don't know if the first car

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11 days ago

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The probability of drawing two aces from a standard deck is 0.0059. We know this probability, but we don't know if the first car

d was replaced. If the two draws are defined as event A and event B, are the events dependent or independent?
A. They are dependent because, based on the probability, the first ace was replaced before drawing the second ace.
B. They are dependent because, based on the probability, the first ace was not replaced before drawing the second ace.
C. They are independent because, based on the probability, the first ace was replaced before drawing the second ace.
D. They are independent because, based on the probability, the first ace was not replaced before drawing the second ace.

Mathematics

1 answer:

Inessa [12.5K] · Answer 1 · 2026-04-11T05:24:17+03:00

Answer:Option C is correct.

C. The events are independent because the first ace was replaced before drawing the second ace.

Step-by-step explanation:

It is given that the probability of drawing two aces from a standard deck is 0.0059

If the first card is drawn and replaced, it alters the probability. Performing draws with replacement makes each event independent of one another

The chance of getting an ace on the first draw is 4/52, and with the replacement, the probability remains 4/52 for the second draw

Therefore, if we consider the first and second draws as event A and event B respectively, these events are independent

C. The events are independent because the first ace was replaced before drawing the second ace.