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Joey has a box with 40 football and 120 baseball cards. Sylvia has a box with 75 football and 100 baseball cards. Joey randomly selects one card from his box, and then Sylvia randomly selects a card from her box.

Which statement best describes the reason these are independent events?

A.
Joey’s selection of a card has no impact on Sylvia’s cards.
B.
Joey and Sylvia selected their cards randomly.
C.
Sylvia is choosing from a larger group of cards than Joey is.
D.
Joey’s and Sylvia’s boxes both contain the same types of cards.

Joey has a box with 40 football and 120 baseball cards. Sylvia has a box with 75 football and 100 baseball cards. Joey randomly selects one card from his box, a class=

Answer :

noauura

answer:

“joey’s selection of a card has no impact on sylvia’s cards.” is correct.

explanation:

for (plato/edmentum).

${teks-lihat-gambar} noauura

The statement that best describes the reason these are independent events is:  A. Joey’s selection of a card has no impact on Sylvia’s cards.

Which pair of events are called independent events?

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent if and only if we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Comparing it with chain rule will give

 [tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex],

thus, showing that whether one occurred or not, the other one doesn't care about it (independence).

Since, here Joey picks card from his box, and that doesn't affect the elements of box of Sylvia, and neither of Sylvia's picking affects the box used by Joey, therefore, the result of drawing of card by Joey and Sylvia won't depend on each other.

Thus, the statement that best describes the reason these events(picking of cards by Joey and Sylvia from their respective boxes) are independent events is:  A. Joey’s selection of a card has no impact on Sylvia’s cards.

Learn more about independent events here:

https://brainly.com/question/13488890

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