#\'s 3,4,5,6 (Mathematical Probability Theory) stnet 3. An urn contains 3 red, 8

Question

#'s 3,4,5,6

(Mathematical Probability Theory)

stnet 3. An urn contains 3 red, 8 yellow, and 13 green balls; another urn contains 5 red, 7 yellow, and 6 green balls. One ball is selected from each urn. Find the probability that both balls will be of the same color. 4. An experiment consists of drawing 10 cards from an ordinary 52-card pack. (a) If the drawing is done with replacement, find the probability that no two (b) If the drawing is done without replacement, find the probability that at Ils are drawn without cards will have the same face value. least 9 cards will be of the same suit. 5. An urn contains 10 balls numbered from 1 to 10. Five bal replacement. Find the probability that the second largest of the five drawn will be 8. numbers ts arranged in a 6. m men and w women seat themselves at random in m + w sea row. Find the probability that all the women will be adjacent 7s ood liht bulbs and 25 defective bulbs and 15

Explanation / Answer

answer for question-3

Events are independent. Let P(color on draw 1, color ondraw 2)

So

P(R,R)=P(R)P(R)=(3/24)(5/18)=5/144

P(Y,Y)=P(Y)P(Y)=(8/24)(7/15)=7/54

P(G,G)=P(G)P(G)=(13/24)(6/18)=13/72

Adding probabilities

P(colors are the same)=149/432=.345

Note: As per Chegg guideliness, We have to answer for one question at once. Please repoat remaining qiestions for answers.

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