Carmen spent 4 hours at the Y on Saturday. Two thirds of that time she spent in the gym. How many hours did she spend in the gym?

(2/3) of 4 = ?

: A box contains two black balls and three gold balls. Two

balls are randomly drawn in succession from the box.
a. If there is no replacement, what is the probability
that both balls are black?
b. If there is replacement before the second draw, what
is the probability that both balls are black?

Please don't post a new question as part of somebody else problem & replies, it was just lucky I looked back at this one.

a) Prob(two blacks) = (2/5)(1/4) = 1/10

b) now it would be (2/5)(2/5) = 4/25

To find out how many hours Carmen spent in the gym, we need to calculate two-thirds of the total time she spent at the Y on Saturday.

First, we know that Carmen spent 4 hours at the Y on Saturday. To find two-thirds of this, we'll perform the following calculation:

(2/3) * 4 = 8/3 = 2.67 hours

Therefore, Carmen spent approximately 2.67 hours in the gym on Saturday.