Homework Help is Here – Start Your Trial Now!
Math
Probability
3 A card is drawn from a full pack of 52 playing cards. If the card drawn is an Ace, King, Queen or Jack, two dice are thrown and the sum of the scores on the dice noted. If any other card is drawn, one die only is thrown and the sum of the scores on the card and the die noted. X denotes the event 'Both dice are thrown', and Y denotes the event 'The score noted is less than five'. Calculate the probabilities: (a) P(X), (b) P(XY), (c) P(Y), (d) P (YX), (e) P(X|Y)

3 A card is drawn from a full pack of 52 playing cards. If the card drawn is an Ace, King, Queen or Jack, two dice are thrown and the sum of the scores on the dice noted. If any other card is drawn, one die only is thrown and the sum of the scores on the card and the die noted. X denotes the event 'Both dice are thrown', and Y denotes the event 'The score noted is less than five'. Calculate the probabilities: (a) P(X), (b) P(XY), (c) P(Y), (d) P (YX), (e) P(X|Y)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
See similar textbooks
icon
Related questions
Question

3

Calculate (a) P(XY), (b) P(YX), (c) P(XUY') A fair die is thrown three times. Events A, B C are defined as follows: A the total score is an odd number B a six appears at the first throw C the total score is 13. (a) Calculate P(A) and P (A | B) and state whether A and B are independent events Calculate P(C) and P (C|B) and state whether B and C are independent events. (b) 3 A card is drawn from a full pack of 52 playing cards. If the card drawn is an Ace, King, Queen or Jack, two dice are thrown and the sum of the scores on the dice noted. If any other card is drawn, one die only is thrown and the sum of the scores on the card and the die noted. X denotes the event 'Both dice are thrown', and Y denotes the event 'The score noted is less than five'. Calculate the probabilities: (a) P(X), (b) P(XY), (c) P (Y), (d) P (YX), (e) P(XY) A bottle of sweets contains 13 red sweets, 13 blue sweets, 13 green sweets and 13 yellow sweets.7 sweets are selected at random. Find the probability that exactly 3 of them are red. 5 Two fair twelve-sided dice with sides marked 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 are thrown, and the numbers on the sides which land face down are noted. Events Q and R are defined as follows. Q: the product of the two numbers is 24. R: both of the numbers are greater than 8. (i) Find P(Q). 2
Transcribed Image Text:Calculate (a) P(XY), (b) P(YX), (c) P(XUY') A fair die is thrown three times. Events A, B C are defined as follows: A the total score is an odd number B a six appears at the first throw C the total score is 13. (a) Calculate P(A) and P (A | B) and state whether A and B are independent events Calculate P(C) and P (C|B) and state whether B and C are independent events. (b) 3 A card is drawn from a full pack of 52 playing cards. If the card drawn is an Ace, King, Queen or Jack, two dice are thrown and the sum of the scores on the dice noted. If any other card is drawn, one die only is thrown and the sum of the scores on the card and the die noted. X denotes the event 'Both dice are thrown', and Y denotes the event 'The score noted is less than five'. Calculate the probabilities: (a) P(X), (b) P(XY), (c) P (Y), (d) P (YX), (e) P(XY) A bottle of sweets contains 13 red sweets, 13 blue sweets, 13 green sweets and 13 yellow sweets.7 sweets are selected at random. Find the probability that exactly 3 of them are red. 5 Two fair twelve-sided dice with sides marked 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 are thrown, and the numbers on the sides which land face down are noted. Events Q and R are defined as follows. Q: the product of the two numbers is 24. R: both of the numbers are greater than 8. (i) Find P(Q). 2
Expert Solution
steps

Step by step

Solved in 6 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS