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Statistics
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You draw nine cards from a standard deck of cards. What is the probability that (A.) four or more will be red (B). exactly two or three will be red (C). two or fewer will be red, and (D). exactly five will be red?

May 13th, 2015

You draw nine cards from a standard deck of cards. What is the probability that 

(A.) four or more will be red

(B). exactly two or three will be red 

(C). two or fewer will be red, and 

(D). exactly five will be red?

iam solving this in a minute...please be patient

May 13th, 2015

ok! Thanks

May 13th, 2015

(A.) four or more will be red=1-26/52*25/51*24/50*23/49=1-0.06=0.94

(B). exactly two or three will be red = probability of getting two reds is 26/52*25/51=0.5*0.49=0.245

                                                           probability of getting 3 reds=26/52*25/51*24/50*23/49=0.1176

                                                            therefore the probability of getting two or three reds =0.245+0.1176=0.3626

(C). two or fewer will be red,26/52*25/51+26/52=0.245+0.5=0.745

 

(D). exactly five will be red?= 26/52*25/51*24/50*23/49 *22/48= 0.5*0.49*0.48*0.47*0.46=0.03

the probability that five will be red is 0.03


thank you for your patience.


May 13th, 2015

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