Need help with number 6 numbers 1,2,.,45 where order does not matter and ahler c

Question

Need help with number 6 numbers 1,2,.,45 where order does not matter and ahler chosen from 1 to 30. To win the lottery, numbers and also correctly choose the Fireball. What is the probability of winning this lottery? a contestant must correctly choose all four of the An urn contains four colored balls: two orange and two blue. Two balls are selecte at random without replacement, and you are told that at least one of them is orange. Wha is the probability that the other ball is also orange? (This problem is deceptively tricky answer is not 1/3. Try using Definition 2.4 on p. 38 directly.) Suppose Bowl A contains 5 orange marbles and 4 purple marbles and Bowl B contains 3 orange marbles and 4 purple marbles. A marble is drawn at random from Bowl A and placed in Bowl B. Find the probability of then drawing a purple marble from Bowl B Suppose we draw a single card from a standard 52 card deck. Let A be the event that a king is drawn and let B be the event a black is drawn. Show whether or not the events A and B are independent. 8, People passing by a city intersection are asked for the month in which they were born. It is assumed that the population is uniformly divided by birth month, so that any

Explanation / Answer

Ans:

6)

P(purple form A)=4/9

P(orange from A)=5/9

If purple was drawn from A,Then ,Bowl B contains 5 purple and 3 orange marbles:

P(purple from B/purple from A)=5/8

If orange was drawn from A,Bowl B contains 4 purple and 4 orange marbles:

P(purple from B/orange form A)=4/8

Now,

P(purple form B)=(5/8)*(4/9)+(4/8)*(5/9)

=(20/72)+(20/72)

=40/72

=5/9

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