7- Three cards are drawn from an ordinary deck and not REPLACED. Find the probab

Question

7- Three cards are drawn from an ordinary deck and not REPLACED. Find the probability of (aGetting Clubs (b) Getting queen. King, Diamond in order (c) 3 clubs, not replacesd S-, Hospital record indicated that maternity patients stayed in the hospital for the number of days shown in the dis Number of days stayed Frequency 15 32 56 19 Total= 12 Find these probabilities A patient stayed exactly 5 days A patient stayed less than 5 days a) (c): A patient stayed at most 5 days b) (d) A patient stayed at least 5 days Hospital 8 nurse, 5 physicians, 7 nurse and 3 physician are female. If a staff person is selected is a nurse or Staff Nurse Physician Female Male total Total

Explanation / Answer

7) (a)Prob. of getting a club= (13C1)*(51C2)/(52C3)=0.75where 13 is the number of Clubs and 52 are the total number of cards in a deck

(b)Getting King,Queen,Diamond in Order = 4C1*4C1*13C1 / 52C3 = 0.009411765 where we can have 1 king from 4 kings same from queen and 1 diamond from 13 diamons while we have 52 cards in a deck

(c)Prob. of getting 3 clubs without replacement= (13C3)/(52C3)=0.01294118 where 13 is the number of Clubs and 52 are the total number of cards in a deck

8)

(a) Patient stayed exactly 5 days= 56/127 (56 occurances of exact 5 days patients staying on the therapy and 127 total occurances)

(b) less than 5 days = (15+32)/127 =47/127 (3&4 days occurances by total 127 occurances)

(c)At most 5 days= (15+32+56)/127 = 103/127(3,4&5 days occurances by total 127 occurances)

(d)At least 5 days= (56+19+5)/127=80/127(5,6&7 days occurances by total 127 occurances)

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