Mod 3

If A and B are independent events with P(A)=0.7 and P(B)=0.2, find P(A AND B).

.14

If the probability that a randomly chosen college student takes statistics is 0.84, then what is the probability that a randomly chosen college student does not take statistics? Give your answer as a decimal.

.16

Given that P(B|A)=0.75 and P(A)=0.35, what is P(B AND A)? Round to three decimal places.

.263

If A and B are independent events, P(A)=0.26, and P(B)=0.79, what is P(B|A)?

.79

Suppose A and B are mutually exclusive events, and that P(A)=0.13 and P(B)=0.85. Find P(A OR B).

.98

an event is

a subset of the set of all outcomes of an experiment

If A and B are events with P(A)=0.3, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

.6

A bag contains 8 RED beads, 5 BLUE beads, and 7 GREEN beads. If a single bead is picked at random, what is the probability that the bead is RED or GREEN? Provide the final answer as a fraction.

3/4

Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs are mutually exclusive. P(A)=.26 P(B)=.5 P(C)=0.45 P(A|B)=.26 P(B|C)=0 P(C|A)=0.26

A and B Independent B and C mutually exclusive

Write the first three terms of the sequence whose general term is an=n!3n.

a1=1/3 a2=1/3 a3=2/3

If A and B are independent events with P(A)=0.8 and P(B)=0.4, find P(A AND B). That is correct!

.32

A deck of cards contains RED cards numbered 1,2,3, BLUE cards numbered 1,2,3,4,5, and GREEN cards numbered 1,2,3,4. If a single card is picked at random, what is the probability that the card is RED?

3/12

Let E be the event that a randomly chosen person exercises. Let D be the event that a randomly chosen person is on a diet. Identify the answer which expresses the following with correct notation: Of all the people who exercise, the probability that a randomly chosen person is on a diet.

P(D|E)

A deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered 1,2,3. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.Drawing the Blue 2 is one of the outcomes in which of the following events?Select all correct answers.

B or E O' B and E

Which of the following shows independent events?

rolling a sum of 6 from the first two rolls and a sum of 4 from the second two rolls