7. You are dealt 6 cards from a standard deck.(a) What is the probability that you have three pairs (that is, two cards each of three of the differentranks)?(b) What is the probability that all of your cards are from the same suit?(c) What is the probability that all of your cards are from the same suit given that I have removed 6spades from the deck?

Answered: Image /qna-images/answer/788aecd9-3440-4735-8aa7-d10e5ee30dc9.jpg

Answered: 7. You are dealt 6 cards from a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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22. In shooting arena there are 5 different guns. Probability of hitting aim from gun1 is 0.5. Probability of hitting aim from gun2 is 0.55. Probability of hitting aim from gun3 is 0.7. Probability of hitting aim from gun4 is 0.75. Probability of hitting aim from gun5 is 0.4. One shoot was made from a gun selected at random. What is the probability that aim was hit?
c) The probability that Rudy passes Statistics is and the probability that he passes 7 10 English is 4 3 If the probability of passing both courses is find the probability that 5 Rudy will pass at least one of these courses.
Four cards are drawn from a pack of cards. Find the probability that (1) all are diamonds, (ii) there is one card of each suit, and (ii) there are two spades and two hearts.
Suppose you have four (4) boxes each of which contains six (6) balls: a red ball, a blue ball, a green ball, a purple ball, a yellow ball and a pink ball. If you draw a ball at random from each box what is the probability that: there are no balls of the same colour either the first ball or last ball or both are green the colour of the first ball is the same as the fourth ball AND the colour of the second ball is the same as the third ball e.g. red, green, green, red. For each of these questions explain your answer i.e., show your reasoning.
1. From a bag containing 10 black and 20 white balls, a ball is drawn at random. What is the probability that it is black? Solution. Total number of balls in the bag = 10 + 20 = 30 Number of black balls = 10 Probability of getting a black ball or
Q. Two cards are drawn in succession without replacement from a ostandard 52-card deck. Compute the probability that (i) the second card is a red if the first card is the king of hearts; (ii) Both cards are black.
40 Jennie's teacher told her to select two problems from a list of two C-level problems, five B-level problems, and one A-level problem. If she selected at random, what is the probability that she se- lected two B-level problems?
1. From a deck of 52 cards (Ace, 2, 3.......10, Jack, Queen, King; with each one havingclubs or flower, spade, heart and diamond). When a card is drawn, what is theprobability that the card is a(a) 7 (b) 7 of heart (c) heart (d) either 7 or heart2. What is the probability of getting a 2 or a 5 when a dice is rolled?3. Referring to the important health practices advocated by the California study, supposethat in a senior college class of 500 students its is found that 210 smoke, 258 drink alcoholicbeverages, 216 eat between meals, 122 smoke and drink alcoholic beverages, 83 eatbetween meals and drink alcoholic beverages, 97 smoke and eat between meals, and 52engage in all three of these bad health practices. If a member of this sneer class is selectedat random, find the probability that the studenta. smoke but does not drink alcoholic beverages;b. eats between meals and drinks alcoholic beverages but does not smoke;c. neither smokes nor eats between meals.
A box of chocolates contains 39 chocolates of 3 different flavours: 13 dark, 17 milk and 9 white. You randomly pick 9 chocolates. Find the probability that: (a) 8 chocolates are dark, 1 are milk and 0 are white. (b) you get only dark chocolates (c) you get only chocolates of the same kind (d) you get at least one chocolate of each kind. Write the results in fractional form.
A box contains 4 red and 8 green marbles. You reach in and remove 3 marbles all at once. (a) Find the probability that these 3 marbles are all red. (Enter your answer as a fraction.)(b) Find the probability that these 3 marbles are all of the same color. (Enter your answer as a fraction.)

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