Suppose you are playing a game with two number cubes. Let A represent rolling 2,3,or 4, and B represent rolling 1,5,or 6. The probability of A is 1/2 and the probability of B is 1/2.
A. (I POSTED IT BELOW) but simplify
B. What is the probability thatone number cube shows 2,3,or 4 and the other shows 1,5, or 6?

Question

Suppose you are playing a game with two number cubes. Let A represent rolling 2,3,or 4, and B represent rolling 1,5,or 6. The probability of A is 1/2 and the probability of B is 1/2.
A. (I POSTED IT BELOW) but simplify
B. What is the probability thatone number cube shows 2,3,or 4 and the other shows 1,5, or 6?

anonymous · Answer

attachment

anonymous · Answer

?

hartnn · Answer

if A represents an event of rolling,then 1/2A does not make any sense...is it probability of A or P(A) in that expression?

anonymous · Answer

of A

hartnn · Answer

then its essentially 1/2
so when i put that,it becomes (1/2(1/2)+1/2(1/2))^2=(1/2)^2=1/4 ......

anonymous · Answer

ok what is next

hartnn · Answer

now the two events of one cube showing 2,3 or 4 and other showing 1,5 or 6 is mutually independent.
so P(A and B ) will be just P(A)*P(B)=1/2*1/2=1/4

hartnn · Answer

*are mutually independent...

anonymous · Answer

alright so that is the 1/2s simplified?

anonymous · Answer

attachment

anonymous · Answer

its supposed to be simplified also

hartnn · Answer

i simplified (1/2A+1/2B)^2 for u above to get it as 1/4....
 (1/2(1/2)+1/2(1/2))^2=(1/2)^2=1/4 ......

anonymous · Answer

alright thats what i was thinking now what bout the second part

hartnn · Answer

i also solved 2nd part above...
now the two events of one cube showing 2,3 or 4 and other showing 1,5 or 6 are mutually independent.
so P(A and B ) will be just P(A)*P(B)=1/2*1/2=1/4

anonymous · Answer

ok thanks so much