Did I get this correct? If not explain where I went wrong. If two fair dice are rolled 10 times, what is the probability of at least one 6 (oneither die) in exactly five of these 10 rolls?What is the expected number of rolls that show at least one 6?2P(X - 5) = ( 1 X 3 )³ (3) ²3)E(X) = 10 ( 3² ) = 1/30 ~ 3.33 3n=10P = 3/3/366हIn

Here 2 dice are rolled 10 times. Finite number of trial Each trial are independent There are two…

Answered: either die) in exactly five of these 10…

Math

Probability

either die) in exactly five of these 10 rolls? What is the expected number of rolls that show at least one 6?

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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Question

Did I get this correct? If not explain where I went wrong.

If two fair dice are rolled 10 times, what is the probability of at least one 6 (on
either die) in exactly five of these 10 rolls?
What is the expected number of rolls that show at least one 6?
2
P(X - 5) = ( 1 X 3 )³ (3) ²
3)
E(X) = 10 ( 3² ) = 1/30 ~ 3.33 3
n=10
P = 3/3/3
6
6
ह
In

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