(a) Write down a probability model for this experiment. That means write down all the possible outcomes and their associated probabilities. (b) Calculate the probability you record an even number. (Remember: 0 is an even number) (c) Calculate the probability you record a number less than 3. (d) Calculate the probability you record an even number AND a number less than 3. (e) Calculate the probability you record an even number OR a number less than 3. (f) Calculate the probability you record a number less than 6. (g) Calculate the probability you do not record a 1.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Question 3) Suppose you roll a six sided dice labeled 1 through 6 and a four sided dice labeled 1
through 4. You record the non-negative difference of the two dice. In other words, you subtract
the smaller number from the larger number you rolled. For example, if you roll a 2 on the six sided
die and 3 on the four sided die, you record a 1 (from 3 - 2 = 1). Or if you roll a 4 on the six sided
die and a 4 on the four sided die you record a 0 (from 4-4 = 0).
(a) Write down a probability model for this experiment. That means write down all the
possible outcomes and their associated probabilities.
(b) Calculate the probability you record an even number. (Remember: 0 is an even number)
(c) Calculate the probability you record a number less than 3.
(d) Calculate the probability you record an even number AND a number less than 3.
(e) Calculate the probability you record an even number OR a number less than 3.
(f) Calculate the probability you record a number less than 6.
(g) Calculate the probability you do not record a 1.
Look back at Question 3.
Calculate the following conditional probabilities.
(a) The probability you record a number less than 3 given that you roll a 1 on the four sided die.
(b) The probability you record a number less than 3 given that you roll a 6 on the six sided die.
Transcribed Image Text:Question 3) Suppose you roll a six sided dice labeled 1 through 6 and a four sided dice labeled 1 through 4. You record the non-negative difference of the two dice. In other words, you subtract the smaller number from the larger number you rolled. For example, if you roll a 2 on the six sided die and 3 on the four sided die, you record a 1 (from 3 - 2 = 1). Or if you roll a 4 on the six sided die and a 4 on the four sided die you record a 0 (from 4-4 = 0). (a) Write down a probability model for this experiment. That means write down all the possible outcomes and their associated probabilities. (b) Calculate the probability you record an even number. (Remember: 0 is an even number) (c) Calculate the probability you record a number less than 3. (d) Calculate the probability you record an even number AND a number less than 3. (e) Calculate the probability you record an even number OR a number less than 3. (f) Calculate the probability you record a number less than 6. (g) Calculate the probability you do not record a 1. Look back at Question 3. Calculate the following conditional probabilities. (a) The probability you record a number less than 3 given that you roll a 1 on the four sided die. (b) The probability you record a number less than 3 given that you roll a 6 on the six sided die.
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