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out of 300 applicants for a job 100 are female, 200 of the applicants have gradu

ID: 3173011 • Letter: O

Question

out of 300 applicants for a job 100 are female, 200 of the applicants have graduate degrees acemet rom a of choosing a standard deck of 52 playing cards. What is the probability A) 0.0637 B) 0.0577 C) 0.0588 DO 0.06250 3) If a single fair die is rolled, find the probability of a 5 given that the number rolled isodd. A) B) 1 D) 4) out of 300 applicants for a job, 100 are female, 200 of the applicants have graduate degrees, and 60 of the applicants are female and have a graduate degree. What is the probability that a randomly chosen applicant is male, given that the applicant has a graduate degree? A) 0.0588 B) 0.650 C) 0.0577 D) 0.70 5) The newly elected president needs to decide the remaining 4 spots available in the cabinet he/she is appointing. If there are 10 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed? (D) 65 B) 5040 C) 210 A) 0.70 6) Customer account "numbers" for a certain company consist of 2 letters followed by 3 numbers. How many different account numbers are possible if repetitions of letters and digits are allowed D) 676,000 C) 1,404,000 B) 1,757,600 A) 468,000 How many ways Rudy choose 3 pizza toppings from a menu of 9 toppings if each topping c only be can chosen once?

Explanation / Answer

4)

From the given we can find that

Number of males out of 300 is: Male = 300-100=200

Number of males and graduate degrees : 200 -70 = 130

And we have

P(males) = 200/ 300

P(males and graduate degree) = 130/300

So the required probability is

P(graduate degree|males) = P(males and graduate degree) / P(males) = 130 / 200 = 0.65