Question

The newest invention of the 6.041x staff is a three-sided die.

Answer 1

so wats the question?

Answer 2

this is no general knowledge page !

Answer 3

please post a proper question!

Answer 4

On any roll of this die, the result is 1 with probability 1/2, 2 with probability 1/4, and 3 with probability 1/4.

Consider a sequence of six independent rolls of this die.

Find the probability that exactly two of the rolls results in a 3.

(62)(14)2(34)4 (62)(14)2 (62)(14)2(64)(34)4 (62)(14)4(34)2
Given that exactly two of the six rolls resulted in a 1, find the probability that the first roll resulted in a 1. Note: Your answer should be a number. Do not enter '!' or combinations in your answer.

unanswered
We are told that exactly three of the rolls resulted in a 1 and exactly three rolls resulted in a 2. Given this information, find the probability that the six rolls resulted in the sequence (1,2,1,2,1,2). Note: Your answer should be a number. Do not enter '!' or combinations in your answer.

unanswered
The conditional probability that exactly k rolls resulted in a 3, given that at least one roll resulted in a 3, is of the form:

11−(c1/c2)c3(c3k)(1c2)k(c1c2)c3−k,for k=1,2,…,6.
Find the values of the constants c1, c2, and c3:

c1=unanswered
c2=unanswered
c3=unanswered

Answer 5

which one are you up to

Answer 6

this one?

"We are told that exactly three of the rolls resulted in a 1
and exactly three rolls resulted in a 2.
Find the probability that the six rolls resulted in the sequence (1,2,1,2,1,2). "