SOLUTION: find the probability for rolling a numbered cube. P(rolling a 5, then an even number)

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Question 124008This question is from textbook Prentice hall mathematics algebra 1
: find the probability for rolling a numbered cube.
P(rolling a 5, then an even number)
This question is from textbook Prentice hall mathematics algebra 1

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
find the probability for rolling a numbered cube.
P(rolling a 5, then an even number)


Since the probability of rolling an even number second is not changed,
i.e., neither increased nor decreased in the least by whether or not 
you rolled a 5 first, we say the two events are INDEPENDENT.

So since they are independent, we can multiply their probabilities
to get the probability of both occurring.

P(rolling a 5 first AND rolling an even number second)

= P(rolling a 5 first) x P(rolling an even number second)

A cube has 6 sides, only one of which is numbered 5, but
three of which are numbered with an even number, namely 
2, 4, and 6.

So

P(rolling a 5 first AND rolling an even number second)

= P(rolling a 5 first) x P(rolling an even number second)

= (1 out of 6) x (3 out of 6) = %281%2F6%29%283%2F6%29=%281%2F6%29%281%2F2%29 = 1%2F12

Edwin