Let event A = You buy a bottle of sunscreen on Friday. Which event is most likely to be independent of A?A.You're planning to go to the beach on Saturday.B.You read an article on Wednesday about how the Sun can damage your skin.C.You have chicken for dinner on Sunday.D.It was 95°F on Thursday.
Question
Let event A = You buy a bottle of sunscreen on Friday. Which event is most likely to be independent of A?A.You're planning to go to the beach on Saturday.B.You read an article on Wednesday about how the Sun can damage your skin.C.You have chicken for dinner on Sunday.D.It was 95°F on Thursday.
Solution
The event most likely to be independent of A (You buy a bottle of sunscreen on Friday) is C. You have chicken for dinner on Sunday. This is because having chicken for dinner on Sunday has no direct relationship or influence on the event of buying sunscreen on Friday. The other events could potentially influence or be influenced by the purchase of sunscreen. For example, if you're planning to go to the beach on Saturday (event A), you might be more likely to buy sunscreen on Friday. Similarly, if it was 95°F on Thursday (event D), you might be more likely to buy sunscreen on Friday. And if you read an article on Wednesday about how the Sun can damage your skin (event B), you might also be more likely to buy sunscreen on Friday.
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