answer and show all wörk. Solutlohslut or the following questions circle your ma

Question

answer and show all wörk. Solutlohslut or the following questions circle your may not receive credit. l:aibiCi d,e zia, bcide , q, b,c,d, e 14. A multiple choice quiz has three questions, each with five answer choices. One answer is correct. You have no idea what the answer is to any question and have to guess each answer. Find the probability of answering the first question correctly and all of the remaining questions incorrectly a) 5 b) Find the probability of answering none of the questions correctly. 6.612 c) Find the probability of answering at least one question correctly 15. (5 points) If a single fair 6 sided die is rolled 3 times, what is the probability it will land on a 3, then on a 2, and thed on a 3 again? lo

Explanation / Answer

14. a) P(answering first correctly and remaining incorrectly) = 1/5 x 4/5 x 4/5

= 16/125

= 0.128

b) P(answering none correctly) = (4/5)3

= 0.512

c) P(answering at least one question correctly) = 1 - P(answering none correctly)

= 1 - 0.512

= 0.488

15. P(land on 3, then 2, then 3) = 1/6 x 1/6 x 1/6

= 1/216

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