Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

e events A and B are mutually exclusive or not mutually exclusive, A die is roll

ID: 2932691 • Letter: E

Question

e events A and B are mutually exclusive or not mutually exclusive, A die is rolled. It is a 3. it is an odd number A) mutually exclusive B) not mutually exclusive 23) Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn from a standard deck of 52 playing cards. A: The result is a club. B: The result is a king. A) mutually exclusive B) not mutually exclusive 24) Decide if the events A and B are mutually exclusive or not mutually exclusive. A student is selected 24) at random. A: The student is taking a math course. B: The student is a business major. A) not mutually exclusive B) mutually exclusive 25) A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a heart. 17 52 A) B) D) 52 26) Given that PAor B)P(A)-7,and P(A and B)-.find PrB) 127 252 71 A) 27) A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a black card. 15 A) D) 28) The table lists the smoking habits of a group of college students. Sex Non-smoker | Regular Woman Total Smoker l H Heavy Smoker Total 191 12 17 187 21 411 If a student is chosen at random, find the probability of getting someone who is a regular or heavy smoker. Round your answer to three decimal places. A) 0.256 B) 0.708 C) 0.153 D) 0.217

Explanation / Answer

(According to Chegg policy, only four subquestions will be answered. Please post the remaining in another question)

23. Since there is a king that is also a club, A and B are not mutually exclusive.

The correct answer is B)

24. A student taking maths course may also be a business major.

Therefore, the events are not mutally exclusive.

The correct answer is B)

25. There are 4 aces and 12 other hearts out of a total of 52 cards.

Probability = 16 / 52 = 4/13 which is given in C)

26. P(A or B) = 1/4

P(A) = 1/7 P(A and B) = 1/9

P(B) = P(A or B) + P(A and B) - P(A)

= 1/4 + 1/9 - 1/7

= 63/252 + 28/252 - 36/252

= 55/252

which is given in B)