Maths
A bag contains 8 balls, identical except for colour of which 5
are red and 3 white. A man draws two balls at random one after another
without replacement. What is the probability one of the balls drawn is
white and other red ?
What would be the value of these probabilities if a ball drawn is
replaced before another ball is d
rawn.
Homework Answers
Maths
A box contains 3 red and 7 white balls .one ball is drawn at random and in its placea b a ball of the other colour is put in the box .now one ball is drawn at random from the box ,find the probability that it is red
An urn contains 4 white balls and 6 red balls. A second urn contains 6 white...
An urn contains 4 white balls and 6 red balls. A second urn contains 6 white balls and 4 red balls. An urn is selected, and the probability of selecting the first urn is 0.8. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities? (Round your answers to three decimal places.) (a) the probability that the urn selected...
Two balls are drawn, without replacement, from a bag containing 13 red balls numbered 1−13 and...
Two balls are drawn, without replacement, from a bag containing 13 red balls numbered 1−13 and 4 white balls numbered 14−17. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is red, given that the first ball is white? (b) What is the probability that both balls are even-numbered? (c) What is the probability that the first ball is red and even-numbered and the second ball is even-numbered?
One bag contains 4 white and 2 black balls. Another contains 3 white and 5 black balls. One ball is drawn from each bag. Find the probability that both are of same colour.
One bag contains 4 white and 2 black balls. Another contains 3white and 5 black balls. One ball is drawn from each bag. Find theprobability that both are of same colour.
Two cards are selected from a standard deck without replacement. Compute the following probabilities. 2) The...
Two cards are selected from a standard deck without replacement. Compute the following probabilities. 2) The first and second cards are diamonds. The second card is a diamond given that the first was diamond. The card king or diamond. a. b. c. l 2 ร์เ 4) There are two identical bottles, One bottle contains 4 green balls and 2 red balls. The other contains 6 green ball and 3 red balls. A bottle is selected at random and a single...
2. An urn contains two green balls and three red balls. Suppose two balls will be...
2. An urn contains two green balls and three red balls. Suppose two balls will be drawn at random one after another and without replacement (i.e., the first ball is not returned to the urn before the second one is drawn). (a) Find the probabilities of the events A-I A green ball appears in the irst draw (Note, in event B, the first draw is supposed unknown, for example, after the first draw,you do not look at what color the...
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A bowl contains 5 blue balls, 3 red balls and 2 green balls. If two balls are drawn successively at random without replacement, what is the probability of: (a) drawing a red ball on each of the two draws? (b) drawing a red ball on the second draw? (c) drawing a red ball on at least one of the two draws? (d) red on the first draw and blue on the second draw? (e) blue on the first draw given...
Refer to Example 4.40. An urn contains six red balls, six white balls, and six blue...
Refer to Example 4.40. An urn contains six red balls, six white balls, and six blue balls, and sample of four balls is drawn at random without replacement. Compute the probability that all of the balls in the sample are the same color. (Round your answer to four decimal places.) b) An urn contains eight red balls, eight white balls, and eight blue balls, and sample of five balls is drawn at random without replacement. Compute the probability that the...
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An urn contains 20 red balls and 50 blue balls. Two are chosen at random, one after the other, without replacement. (Round your answers to one decimal place.) (a) Use a tree diagram to help calculate the following probabilities: the probability (as a %) that both balls are red % the probability (as a %) that the first ball is red and the second is not % the probability (as a %) that the first ball is not red and...
(5) A box contains 4 red and 6 white balls. If two balls are drawn at...
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Two cards are selected from a standard deck without replacement. Compute the following probabilities. 2) The first and second cards are diamonds. The second card is a diamond given that the first was diamond. The card king or diamond. a. b. c. l 2 ร์เ 4) There are two identical bottles, One bottle contains 4 green balls and 2 red balls. The other contains 6 green ball and 3 red balls. A bottle is selected at random and a single...
2. An urn contains two green balls and three red balls. Suppose two balls will be drawn at random one after another and without replacement (i.e., the first ball is not returned to the urn before the second one is drawn). (a) Find the probabilities of the events A-I A green ball appears in the irst draw (Note, in event B, the first draw is supposed unknown, for example, after the first draw,you do not look at what color the...
An urn contains 20 red balls and 50 blue balls. Two are chosen at random, one after the other, without replacement. (Round your answers to one decimal place.) (a) Use a tree diagram to help calculate the following probabilities: the probability (as a %) that both balls are red % the probability (as a %) that the first ball is red and the second is not % the probability (as a %) that the first ball is not red and...
(5) A box contains 4 red and 6 white balls. If two balls are drawn at random without replacement, find the probability that one of the two is red (6) A box contains 4 red and 6 white balls. If two balls are drawn at random with replacement, find the probability that one of the two is red
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