Question

One colored marble – purple, green, red or yellow – is selected at random and a coin is tossed.

a) Use the counting principle to determine the number of sample points in the sample space.

By observing the sample space of the marbles and coin, determine the probability of obtaining

b) The color red and a head.

c) A color other than yellow and a tail.

Answer 1

well there are 4 possible marble colors and 2 possible coin toss outcomes, so how many possible combinations are there?

Answer 2

8

Answer 3

so that's (a). now given that only one of those possibilities is red+head, what's (b)?

Answer 4

1/8

Answer 5

you got it! now for (c), out of the 8 possibilities, how many are not a tail, and of those, how many are not yellow?

Answer 6

7/8?

Answer 7

not quite -- 8 total. 4 are not a tail. of those 4, how many are not yellow?

Answer 8

3?

Answer 9

yes! so the probability?

Answer 10

3/8

Answer 11

you got it

Answer 12

thanks so much :)

Answer 13

thanks for trying, most people here don't!