17. A bag contains 7 red and 6 green marbles. Two marbles are drawn without repl

Question

17. A bag contains 7 red and 6 green marbles. Two marbles are drawn without replacement Are the events "first marble is red" and "second marble is green independent events? A) Yes, two events are independent. B) No, two events are not independent C) Not adequate information to determine 18. If a fair coin is tossed three times, find the probability of getting heads on the first toss and tails on the second and third tosses. A) 1/8 B) 1/6 C) 3/8 D) 1/4 19. A single card is drawn from a standard deck of 52 cards. What are the odds in favor of drawing a king? A) 12 to 1 B) 4 to 52 C) 1 to 13 D) 1 to 12 20.If 6 fair coins are tossed, what is the probability that at most 5 will show heads? A) 1/64 B) 3/64 C) 61/64 D) 63/64

Explanation / Answer

17. Yes Two event are independent.

18. Either head or tell so 2 chances

1/2 * 1/2 = 1/4

19. There are total 4 kings out of 52 cards so probability will be

4/52= 1/13

20. Compliment of the given case is all are head.

There are total 2^6=64 result and only one is all head.

So 1/64

Now we are dealing with compliment hence answer will

be 1-(1/64) = 63/64

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