Suppose you roll two dice, one EIGHT-sided die (labeled 1,2,3,4,5,6,7,8) and one FOUR-sided die (labeled 1,2,2,4). You record the MAXIMUM of the two dice (ie the largest number you rolled). For example, if you roll a 5 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 5. If you roll a 2 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 2. (a) Write down a probability model for this experiment. That means write down all the possi- ble outcomes and their associated probabilities. (b) Calculate the probability you record an odd number. (c) Calculate the probability you record a number less than 4.

Suppose you roll two dice, one EIGHT-sided die (labeled 1,2,3,4,5,6,7,8) and one FOUR-sided die (labeled 1,2,2,4). You record the MAXIMUM of the two dice (ie the largest number you rolled). For example, if you roll a 5 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 5. If you roll a 2 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 2. (a) Write down a probability model for this experiment. That means write down all the possi- ble outcomes and their associated probabilities. (b) Calculate the probability you record an odd number. (c) Calculate the probability you record a number less than 4.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Suppose you roll two dice, one EIGHT-sided die (labeled 1,2,3,4,5,6,7,8) and one FOUR-sided die
(labeled 1,2,2,4).
You record the MAXIMUM of the two dice (ie the largest number you rolled).
For example, if you roll a 5 on the EIGHT-sided die and a 2 on the FOUR-sided die you would
record a 5.
If you roll a 2 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 2.
(a) Write down a probability model for this experiment. That means write down all the possi-
ble outcomes and their associated probabilities.
(b) Calculate the probability you record an odd number.
(c) Calculate the probability you record a number less than 4.
(d) Calculate the probability you record an odd number AND a number less than 4.
(e) Calculate the probability you record an odd number OR a number less than 4.
(f) Calculate the probability you record a number less than 4 given that you rolled a 1 on the
FOUR-sided die.

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Step 3: Part (a) - Determine the possible outcomes and their probabilities.

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Step 4: Part (b) - Determine the probability of recording an odd number

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Step 5: Part (c)- Calculating the probability of recording a number less than four.

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