Quiz 4 Probability

What is the probability that two people selected at random have the same birthday? Ignore leap years.

1/365

A jar contains 3 red, 4 blue, and 5 white marbles. Which of the following is the probability of drawing either a red or a white marble?

2/3

Three coins are tossed at once. What is the probability of two heads and one tail?

3/8

A jar contains 3 red, 4 blue, and 5 white marbles. What is the probability of drawing first a red and then, without replacement, a white marble?

5/44

events involving two or more activities

Compound Events

A combination of one or more outcome

Event

A warehouse has 5,000 drums of liquid chemicals. The foreman knows that 50 of these drums contain off-quality chemicals. Assume that the drum is replaced each time before sampling. What is the probability that none of 3 drums he selects at random are off-quality?

(99/100)^3

The probability of a given event is . If the experiment is repeated n times, what is the probability that the event does not occur in any of the trials?

(x-1)^n/x^n

A compound event consists of a certain event, an event with probability 1/4, and then an impossible event. What is the probability of the compound event?

0

A train has 10 cars numbered 1 through 10. If the cars are coupled randomly, what is the probability that the first 3 cars are in car number order?

1/720

Three coins are tossed in succession. What is the probability of heads-tails-heads?

1/8

A marble is drawn at random first from a jar containing four black and four white marbles, and then from a jar containing six black and two white marbles. What is the probability of drawing two black marbles?

3/8

The members of an organization are 10 men and 11 women. What is the probability that a committee of three selected at random is all female?

33/266

6.probability of one event given that another has occurred

Conditional probability

compound events whose outcomes do not affect each other

Independent Events

One of the mutually exclusive results of an activity

Outcome

a measure of likelihood of a given result

Probability

The compound probability of two events, E and F, is 18; the probability of E is 12 and of F is 13. In two or more complete sentences, explain why E and F are not independent.

The events, E and F, are individual in the respects that if we take the value of the compound probability when we multiply E probability with F's probability.Compound probability=P(e)*P(f)1/8_--(1/2)*(1/3)=1/6Since the probabilities of the two are not equal they are dependent