antnguyen8876 antnguyen8876
  • 26-08-2019
  • Mathematics
contestada

What is the probability of rolling six standard, six-sided dice and getting six distinct numbers? Express your answer as a common fraction.

Respuesta :

chisnau chisnau
  • 29-08-2019

Answer:

[tex]\frac{5}{324}[/tex] or 0.015.

Step-by-step explanation:

Let us assume the dice are distinguishable.

There are 6! ways the required numbers can appear.

Also there are total [tex]6^{6}[/tex] possible rolls, so the probability is :

[tex]\frac{6!}{6^{6} }[/tex]

= [tex]\frac{720}{46656}[/tex] = [tex]\frac{5}{324}[/tex] = 0.015

Answer Link

Otras preguntas

Where to take my ged test
what is book in Spanish
Your mom pays you $10 a week plus $5 for every A you make on a test. If she gives you $20, how many A's did you make?
A 2 litre bottle of juice is poured into glasses that hold 200ml. How many glasses of juice will there be?
What is the maximum number of hydrogen atoms that can be covalently bonded in a molecule containing two carbon atoms?a) 2b) 3c) 4d) 6e) 8?
8. Simplify 2a2b3(4a2 + 3ab2 – ab) = ? A. 8a4b5 + 3a3b5 + 2a3b4 B. 8a4b3 + 6a3b5 + 2a3b4 C. 8a4b3 + 6a3b5 – 2a3b4 D. 8a4b5 + 3a3b5 – 2a3b4
What are the real and imaginary parts of the complex number? −6+2i
About 10% (or more) of us carry stapylococcus aureus on our skin as part of our normal flora. upon wounding, these bacteria can invade the bloodstream and lead
help on Shooting an elephant
Leonard, inc., which uses a volume-based cost system, produces cat condos that sell for $126 each. direct materials cost $10 per unit, and direct labor costs $2