An instructor gives his class a set of 20 problems with the information that the next quiz will consist of a random selection of 10 of them. if a student has figured out how to do 16 of the problems, what is the probability the he or she will answer correctly
(a) all 10 problems?
(b) at least 9 problems?

(a) Probability he or she will answer all 10 problems correctly is 0.5

(b) Probability he or she will answer at least 9 problems correctly is 0.95

Step-by-step explanation:

(a) Probability is given by number of possible outcomes ÷ number of total outcomes

Number of possible outcomes = 10 problems

Number of total outcomes = 20 problems

Probability he or she will get all 10 problems correctly = 10 ÷ 20 = 0.5

(b) Probability he or she gets at least 9 problems correctly means he or she either gets 9 or the 10 problems correctly

Probability he or she gets at least 9 problems correctly = (9÷ 20) + (10÷20) = 0.45+0.5 = 0.95

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

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