Assume you're on an alternate game show. The host has you take a card from a deck of 52 playing a game of cards. You don't have the foggiest idea what card you picked on the grounds that it is face down. You're assume to figure the playing card you just picked. Suppose you surmise the two of clubs. The host at that point shows you the wide range of various cards in the deck with the exception of one card. Assuming he has the card you speculated, he doesn't show you that card. In the event that he doesn't have the card you speculated, he actually doesn't show you one card. He at that point says to you, "Do you need the card you initially picked or would you like to picked the card I have".

(a) What is the likelihood you speculated the card in the event that you don't switch your decision?

(b) What is the likelihood you speculated the card in the event that you do switch your decision?

(c) Is it for your potential benefit to switch your decision? (Type either yes or no)

Assume you have two boxes An and B. Box A contains 7 dark marbles, 4 white marbles. Box B contains 7 white and 4 dark marbles. An arbitrary investigation is acted in two consecutive preliminaries by first drawing a marble arbitrarily from confine An and putting to Box B. In the second preliminary after the primary preliminary, a marble is drawn arbitrarily from box B.

Answer the accompanying inquiry

Are the two preliminaries free or ward? Offer motivations to help your response

Draw a likelihood tree chart to show the execution of this irregular analysis.

What is the likelihood of drawing a white marble from box B toward the finish of second preliminary?

What is the likelihood of drawing a dark marble from box B toward the finish of second preliminary?

Recognize every one of the totally unrelated occasions present in the given situation and check that they are fundamentally unrelated.

Assuming we invert the situation, what is the likelihood of drawing a dark marble from box A given that a white marble is drawn from box B.

Assume you have two boxes An and B. Box A contains 7 dark marbles, 4 white marbles. Box B contains 7 white and 4 dark marbles. An irregular investigation is acted in two successive preliminaries by first drawing a marble arbitrarily from confine An and putting to Box B. In the second preliminary after the principal preliminary, a marble is drawn arbitrarily from box B.

Answer the accompanying inquiries.

a. Are the two preliminaries free or ward? Offer motivations to help your response

b. Draw a likelihood tree graph to show the execution of this irregular test.

c. What is the likelihood of drawing a white marble from box B toward the finish of second preliminary?

d. What is the likelihood of drawing a dark marble from box B toward the finish of second preliminary?

e. Recognize every one of the totally unrelated occasions present in the given situation and confirm that they

are fundamentally unrelated.

f. In the event that we invert the situation, what is the likelihood of drawing a dark marble from

box A given that a white marble is drawn from box B.

(7)

Ali shows side effects of Malaria and exhorted by the specialist to get tried for affirmation. The endorsed test technique comes positive 85% of the time the patient really has Malaria. The test strategy gives bogus positive 10% of the time, i.e when the patient doesn't have Malaria. On the off chance that 1.5% of the populace is influenced by Malaria, what is the likelihood that Ali has been tainted by Malaria given he tried positive?