Venn and Tree Diagrams

Multiple Choice

If an outcome is sure to happen its probability is

• zero

• 1

• Close to 1

• 0.1

Multiple Choice

From a standard 52 card deck 2 cards are drawn with replacement. What is the probability of drawing at least 1 red card?

• 1/4

• 1/2

• 3/4

• 2/52

Multiple Choice

The Addition Rule is

• P(A AND B) = P (A | B) P(B)

• P(A OR B) = P(A) + P(B) - P(A AND B)

• 0  $$\le$$  P(A)  $$\le$$  1

• P(A AND B) = 0

Multiple Choice

A bag of marbles contains 4 red, 2 blue, 1 green and 1 yellow. The probability of picking a red marble is

• 0.5

• 0.8

• 0.1

• 0.4

Multiple Choice

If each member of a population is replaced after it is picked, then that member has the possibility of being picked more than once. This is known as

• equally likely events

• sampling without replacement

• sampling with replacement

• dependent events

Multiple Choice

The sum of the probabilities of an event P (A) and its complement P(A') is equal to 1.

• True

• False

Multiple Select

You have a fair, well-shuffled deck of cards. It consists of 4 suits - clubs, spades, diamonds, and hearts. There are 13 cards in each 2,3,4,5,6,7,8,9,10, Jack, Queen, King, Ace. Suppose that you draw 4 cards without replacement. Which of the following outcomes is/are possible?

• QS, 2D, 2C, QD

• KH, 7D, 6D, KH

• QS, 7D, 6D, KS

Multiple Choice

What is the P(athlete stretches before exercising | no injury in the last year)?

• $$\frac{295}{800}$$

• $$\frac{295}{350}$$

• $$\frac{295}{514}$$

• $$\frac{350}{800}$$

Multiple Choice

Complete the total for each row and column.

Find the probability that a randomly chosen individual from this group is Tall and Underweight.

• 0.240

• 0.261

• 0.059

• 0.244

Multiple Choice

In this Venn diagram the circles A and B represent

• the sample space

• primary colours

• mutually exclusive events

• one possible outcome of an experiment