Question

A bag contains 25 marbles;10 black,13 red,and 2 blue. A marble is drawn from the bag at random.
a.) Explain why the events "getting a black marble" and "getting a red marble" are mutually exclusive.
b.)What is the probability of getting a red or a blue marble?
c.) A car approaching an intersection has a 0.1 probability of turning left and a 0.2 probability of turning right. Explain why the events are mutually exclusive. What is the probability that the car will turn?

Answer 1

a) a marble can have only one color, so you cannot choose a marble that is both black and red. therefore the events are mutually exclusive (cannot happen simultaneously)

Answer 2

@perl ok thanks! (: For B do I just follow \[\frac{ red+blue }{ total }\]

Answer 3

yes

Answer 4

@perl for C is it 100% because, no matter what it has to turn one way or another?

Answer 5

no, the car can go straight

Answer 6

intersection has 3 options, right , left, straight (assuming no u turns )

Answer 7

probability ( car turns) = P ( turn left or turn right ) = P( turn left ) + P ( turn right) = .1 + .2

Answer 8

the events turn right , turn left are mutually exclusive since you cant do both at the same time