your answer. Board games and dice A board game requires players to roll a pair of balanced dice for each player's turn. Denote the outcomes by (die 1, die 2), such as (5, 3) for a 5.79 5 on die 1 and a 3 on die 2 List the sample space of the 36 possible outcomes for а. the two dice. b. Let A be the event that you roll doubles (that is, each die has the same outcome). List the outcomes in A and find its probability. Let B be the event that the sum on the pair of dice is 7. Find P(B). с. Find the probability of (i) A and B, (ii) A or B, and (iii) B given A. d. Are events A and B independent, disjoint, or neither? Explain. e.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 5CC: a What is meant by an experiment? Sample space? b What is an event? c Define the probability of an...
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your answer.
Board games and dice A board game requires players
to roll a pair of balanced dice for each player's turn.
Denote the outcomes by (die 1, die 2), such as (5, 3) for a
5.79
5 on die 1 and a 3 on die 2
List the sample space of the 36 possible outcomes for
а.
the two dice.
b. Let A be the event that you roll doubles (that is, each
die has the same outcome). List the outcomes in A
and find its probability.
Let B be the event that the sum on the pair of dice is
7. Find P(B).
с.
Find the probability of (i) A and B, (ii) A or B, and
(iii) B given A.
d.
Are events A and B independent, disjoint, or neither?
Explain.
e.
Transcribed Image Text:your answer. Board games and dice A board game requires players to roll a pair of balanced dice for each player's turn. Denote the outcomes by (die 1, die 2), such as (5, 3) for a 5.79 5 on die 1 and a 3 on die 2 List the sample space of the 36 possible outcomes for а. the two dice. b. Let A be the event that you roll doubles (that is, each die has the same outcome). List the outcomes in A and find its probability. Let B be the event that the sum on the pair of dice is 7. Find P(B). с. Find the probability of (i) A and B, (ii) A or B, and (iii) B given A. d. Are events A and B independent, disjoint, or neither? Explain. e.
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