Consider a probability experiment that two dice are rolled together: a) Find the sample space, using tree diagram. b) Find the probability of event A and event A is such that face numbers in both dice are even. c) Find the probability of event B and event B is such that face numbers in both dice are greater than 2. d) Find the probability that face numbers in both dice are even and also greater than 2. e) Find the probability that face numbers in both dice are either even or greater than 2 or both.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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I will rate your answer, I just need correct answer and explanation of part d and e tutors are giving different answers

Consider a probability experiment that two dice are rolled together:
a) Find the sample space, using tree diagram.
b) Find the probability of event A and event A is such that face numbers in both dice are even.
c) Find the probability of event B and event B is such that face numbers in both dice are greater
than 2.
d) Find the probability that face numbers in both dice are even and also greater than 2.
e) Find the probability that face numbers in both dice are either even or greater than 2 or both.
Transcribed Image Text:Consider a probability experiment that two dice are rolled together: a) Find the sample space, using tree diagram. b) Find the probability of event A and event A is such that face numbers in both dice are even. c) Find the probability of event B and event B is such that face numbers in both dice are greater than 2. d) Find the probability that face numbers in both dice are even and also greater than 2. e) Find the probability that face numbers in both dice are either even or greater than 2 or both.
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