Roll 5 standard 6-sided dice; multiply face numbers. Find probability that result is composite number.

grif283

New member
Joined
Mar 8, 2019
Messages
2
1. If I roll 5 standard 6-sided dice and multiply the number on the face of each die, what is the probability that the result is a composite number?

2. Two distinct numbers are selected simultaneously and at random from the set {1, 2, 3, 4, 5}. What is the probability that the smaller one divides the larger one? Express your answer as a common fraction.
 
Last edited by a moderator:

pka

Elite Member
Joined
Jan 29, 2005
Messages
7,967
1. If I roll 5 standard 6-sided dice and multiply the number on the face of each die, what is the probability that the result is a composite number?

2. Two distinct numbers are selected simultaneously and at random from the set {1, 2, 3, 4, 5}. What is the probability that the smaller one divides the larger one? Express your answer as a common fraction.
First: Did you read the posting guidelines? If you did where is the work that you have tried? If we see your work we can better help you.

Now: Do you mean that the five face numbers are multiplied together?
Like \(\displaystyle 1\cdot 1\cdot 1\cdot 1\cdot 5=5\) or \(\displaystyle 1\cdot 6\cdot 3\cdot 1\cdot 5=90\)
 
Last edited by a moderator:

grif283

New member
Joined
Mar 8, 2019
Messages
2
First: Did you read the posting guidelines? If you did where is the work that you have tried? If we see your work we can better help you.

Now: Do you mean that the five face numbers are multiplied together?
Like \(\displaystyle 1\cdot 1\cdot 1\cdot 1\cdot 5=5\) or \(\displaystyle 1\cdot 6\cdot 3\cdot 1\cdot 5=90\)
yup
 

pka

Elite Member
Joined
Jan 29, 2005
Messages
7,967

Denis

Senior Member
Joined
Feb 17, 2004
Messages
1,648
1. If I roll 5 standard 6-sided dice and multiply the number on the face of each die, what is the probability that the result is a composite number?

2. Two distinct numbers are selected simultaneously and at random from the set {1, 2, 3, 4, 5}. What is the probability that the smaller one divides the larger one? Express your answer as a common fraction.
1,2
1,3
1,4
1,5
2,3
2,4
2,5
3,4
3,5
4,5
That's a hint...
 
Last edited by a moderator:
Top