Ethan's dresser contains 4 pairs of shorts, 1 each in the colors red, black, blue, and grey. his dresser also contains 3 t-shirts, one each in the colors black, navy, and grey. ethan has to get dressed in the dark, so he grabs a pair of shorts and a t-shirt at random from his dresser. what is the probability that he selects a grey pair of shorts and a grey t-shirt?

Step-by-step explanation:

In basic probability theory, AND means MULTIPLICATION and OR means ADDITION.

We want to find probability of grey pair of shorts AND grey T-Shirt. So we need to multiply the individual probabilities.

P(grey shorts) =  (total 4 colors and 1 grey)

P(grey tshirt) =  (total 3 colors and 1 grey)

P(grey shorts AND grey tshirt) =

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.