7. A basket contains two apples, three lemons and one orange. If two fruits are drawn at random withreplacement, find the probability of drawing:a) two applesb) one lemon on the first draw and one orange on the second drawone apple and one oranged) one lemon on the first draw only

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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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Consider a preschool class with four left-handed children and six right-handed children. Two children are selected without replacement. Let X be the number of left-handed children chosen.a)Find the probability noleft-handed children are chosen.b)Find the probability twoleft-handed children are chosen.c)Find the probability exactly one left-handed child is chosen.
2. A committee of 5 people is to be formed randomly from a group of 10 women and 6 men. Find the probability that the committee has a) 3 women and 2 men. b) 4 women and 1 men. c) 5 women. d) at least 3 women.
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Saroj surveyed his classmates to find the number of children in each family. He displayed the data in a graph. A) How many students are in Saroj's class? B) Each student writes the number of children in her or his family on a slip of paper, and places it in a bag. Saroj draws one slip without looking. Find each probability. i) Saroj draws the number 4 ii) Saroj draws the number 6 iii) Saroj draws the number 2. (use fractions) * X X X x x X X XxX 0123456 7 8
Out of the 250 Grade 10 students, 120 liked mathematics (M), 160 liked science (S) and 75 liked both mathematics and science.a) Draw a Venn diagram illustrating this problem.If a student is selected from this group, what is the probability that:b) he/she liked mathematics or science?c) he/she did NOT like any of the two subjects?
1. A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag. a) Construct a probability tree of the problem. b) Calculate the probability that Paul picks two black balls
A jar has 2 red marbles 2 blue marbles. Two marbles are chosen from the jar without replacement. a) The probability that the marbles are the same color is b) The probability that at least one of the marbles is red is c) The probability that the marbles are NOT the same color is
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part B and C

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7. A basket contains two apples, three lemons and one orange. If two fruits are drawn at random with replacement, find the probability of drawing: a) two apples b) one lemon on the first draw and one orange on the second draw c) one apple and one orange d) one lemon on the first draw only