For the given pair of events A and B, complete parts (a) and (b) below. A: A mar

Question

For the given pair of events A and B, complete parts (a) and (b) below. A: A martle is randomly selected from a bag containi ng 19 marbles corsisting of 1 red, 12 blue, and 6 green marbles. The selected marble is one of the green marbles B: A second marble is selected and it is the 1 red marble in the bag a. Deermine whether events A and 8 are independent or depe according to the 5% guideline, consider them to be ndependent. b. Find P(A and B), the probability that events A and B both oncur ndent: (f two events are lechinically dependent tus: can be tveatod as if they are independent he sorrence oe one atlects the probabil", ct the occurrence or the other and tha 5% gucelne cannot be applied O B. The two events are independent O C. The two events are indopend.ht because because the ocourrence of one does rot affect the probability of the occurrence of the othon ocourrence of 5% guideline can be appled n this case. s ang dapendent because te occurrence of one a-erts the probabily of the occurrence o, the Other and the 5% guideline can be appled in ever this casa. Clear All

Explanation / Answer

Ans:

P(A)=6/19

P(B)=1/18

P(A and B)=(6/19)*(1/18)=P(A)*P(B)

Yes,events A and B are indpendent.

The two events are independent,as occurance of one does not affect the probability of occurance of the other.

Option B is correct.

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