u roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? (b) Find P(4 on green die and 6 on red die). (c) Find P(6 on green die and 4 on red die).

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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You roll two fair dice, one green and one red.
(a) Are the outcomes on the dice independent?
(b) Find P(4 on green die and 6 on red die).
(c) Find P(6 on green die and 4 on red die).
(d) Find P((4 on green die and 6 on red die) or (6 on green die and 4 on red die)).
Transcribed Image Text:You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? (b) Find P(4 on green die and 6 on red die). (c) Find P(6 on green die and 4 on red die). (d) Find P((4 on green die and 6 on red die) or (6 on green die and 4 on red die)).
Step 4
First find P(4 on green die).
There are six faces on a die, and on a fair die each face is equally likely to come up when we roll the die.
Recall the formula for the probability of an event with equally likely outcomes.
number of outcomes favorable to event
probability of event
total number of outcomes
When we roll the green die there are
total possible outcomes. Of those total possible
outcomes, only the one outcome where we roll a 4 is favorable to the event "4 on green die". Therefore, we
have the following result.
number of outcomes where a 4 is showing on green die
P(4 on green die)
total number of possible outcomes when green die is rolled
1
Using the same method, find the probability of the other event.
number of outcomes where a 6 is showing on red die
P(6 on red die)
%3D
total number of possible outcomes when red die is rolled
1
6.
Submit
Skip (you cannot come back).
Transcribed Image Text:Step 4 First find P(4 on green die). There are six faces on a die, and on a fair die each face is equally likely to come up when we roll the die. Recall the formula for the probability of an event with equally likely outcomes. number of outcomes favorable to event probability of event total number of outcomes When we roll the green die there are total possible outcomes. Of those total possible outcomes, only the one outcome where we roll a 4 is favorable to the event "4 on green die". Therefore, we have the following result. number of outcomes where a 4 is showing on green die P(4 on green die) total number of possible outcomes when green die is rolled 1 Using the same method, find the probability of the other event. number of outcomes where a 6 is showing on red die P(6 on red die) %3D total number of possible outcomes when red die is rolled 1 6. Submit Skip (you cannot come back).
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