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SCORPION-xisa [38]
3 years ago
5

Thuy rolls a number cube 7 times. which expression represents the probability of rolling a 4 exactly 2 times?

Mathematics
2 answers:
Nady [450]3 years ago
6 0
The result of rolling a number cube 7 times is a 7-digit number composed of digits 1,2,3,4,5 and 6 so that digits can repeat. The total number of possibilities is 6^7.

The number of possibilities where 4 appears exactly two times is 5^5*(7!-6!/2).
 5^5 is the number of 5-digits numbers composed of digits 1,2,3,5 and 6 so that digits can repeat.
7! is the number of permutations of digits 1,2,3,4,4,5 and 6.
6! is the number of permutations of digits 1,2,3,{4,4},5 and 6.
We don't want to subtract all numbers where digits 4 appear side by side. That's why we must divide 6! by 2.

Finally, the probability is P=5^5(7!-6!/2)/7^7
mel-nik [20]3 years ago
5 0

Answer:

The answer is C I just took the test!!!!!!!

Step-by-step explanation:


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