A number cube is rolled 50 times with the results shown in the table.

eddy2017

eddy2017

Elite Member
Joined
Oct 27, 2017
Messages
2,525
Hi, Happy New Year to all, this is an exercise about probability with a different twist for me
I know that the basic formula for probability.
P= number of favorable outcomes/ total of outcomes.

while I can see that the number the total of possible outcomes is 21 I am having difficulty in understanding how to use the information given in the frequency row. I don't see any consistency between the outcome and the frequency so I am at a loss for a way to analize this
thanks for any hint
thanks


DIRECTIONS: Read the question and select the best response.

A number cube is rolled 50 times with the results shown in the table.


Results of Number Cube Rolling Experiment
Outcome 1 2 3 4 5 6
Frequency 10 9 11 12 8 0

What is the experimental probability of rolling a 4?
choices
4/12 4 over 12

4/5 4 over 5

12/50 12 over 50

10/50 10 over 50
 
I think I may have it. I was not paying attention to this tidbit of info here. what is the experimental probability of rolling a 4?
I take a look at the 4 in the table and I see its frequency is 12, so it has a probability of 4 over 12 first choice. Uhmmm..but I am not so sure.
oh no, 12 over 50
 
Last edited:
eddy2017 said:
Oh, I think I have it. I was not paying attention to this tidbit of info here. what is the experimental probability of rolling a 4?
I take a look at the 4 in the table and I see its frequency is 12, so it has a probability of 4 over 12 first choice.
Click to expand...
Not correct.
P(rolling a 4)=[imath]\frac{\text{frequency rolling a 4}}{\text{total number of times rolled}}[/imath].
How many times did you roll a 4? How many times did you roll in total?
 
Subhotosh Khan said:
Correct.

Now can you calculate:

Probability of NOT rolling a 4 (according to the frequency table given)
Click to expand...
Probability of not rolling a 4?.
Well, I ca n roll 1,2,3,5,6 in 50 rolls.
5/50 probability of not rolling a 4.
 
eddy2017 said:
Probability of not rolling a 4?.
Well, I ca n roll 1,2,3,5,6 in 50 rolls.
5/50 probability of not rolling a 4.
Click to expand...
No! think again.

In this case you will either roll a 4 OR roll NOT a 4.

While conducting the experiment of rolling the die (as described in the OP), how many times the experimenter did not roll a 4?
 
Subhotosh Khan said:
No! think again.

In this case you will either roll a 4 OR roll NOT a 4.

While conducting the experiment of rolling the die (as described in the OP), how many times the experimenter did not roll a 4?
Click to expand...
you said 'Probability of NOT rolling a 4 (according to the frequency table given) post #5

to find this I would:
total number of frequencies not rolling a 4/total number of time rolled = 38/50
 
eddy2017 said:
you said 'Probability of NOT rolling a 4 (according to the frequency table given) post #5

to find this I would:
total number of frequencies not rolling a 4/total number of time rolled = 38/50
Click to expand...
Another way to solve Dr Khan's question is to use the complement. Since you rolled a 4 twelve times out of the fifty times. Then (50-12)=38 times you did not get a 4. Thus, P(not rolling a 4)=38/50.
 
BigBeachBananas said:
Another way to solve Dr Khan's question is to use the complement. Since you rolled a 4 twelve times out of the fifty times. Then (50-12)=38 times you did not get a 4. Thus, P(not rolling a 4)=38/50.
Click to expand...
Wow, amazing. You made it so easy, BBB. Thank you.
 
You must log in or register to reply here.
Top