Unit #5

I draw two cards from a well-shuffled deck, without replacement. What is the probability that I will draw two aces?

(4/52)x(3/51)

The probability that the employee selected is a male over 45 is

.1.

The probability that I select neither a male nor a female under 30 years of age is

.6.

The probability that I do not select a male that is 30-45 years old is

.7.

Suppose that A and B are two independent events with P(A) = 0.3 and P(B) = 0.3. P(A AND B) is

0.09.

If A and B are independent events with P(A) = 0.6 and P(B) = 0.2, then P(A OR B) =

0.68

Given that event E has a probability of 0.31, the probability of the complement of event E

0.69

A six-sided die is tossed 3 times. The probability of observing three ones in a row is

1/216

A method of assigning probabilities based upon judgment is referred to as the

subjective method

Assuming that each of the 52 cards in an ordinary deck has a probability of 1/52 of being drawn, what is the probability of drawing a black ace?

2/52

Event A occurs with probability 0.3 and event B occurs with probability 0.4. If A and B are independent, we may conclude

Correct all of the above.

Suppose we roll a red die and a green die. Let A be the event that the number of spots showing on the red die is three or less and B be the event that the number of spots showing on the green die is more than three. The events A and B are

Correct independent

Event A occurs with probability 0.2. Event B occurs with probability 0.8. If A and B are disjoint (mutually exclusive) then

P(A or B) = 1.0.

Event A occurs with probability 0.6. If event A and B are disjoint then

P(B) < 0.4.

A method of assigning probabilities which assumes that the experimental outcomes are equally likely is referred to as the

classical method

In an instant lottery, your chances of winning are 0.1. If you play the lottery twice and outcomes are independent, the probability that you lose both times is

0.81

In a particular game, a fair die is tossed. If the number of spots showing is either 4 or 5 you win $1; if the number of spots showing is 6 you win $4; and if the number of spots showing is 1, 2, or 3 you win nothing. If it costs you $1 to play the game, the probability that you get back exactly what you paid is

1/3

If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is

1/6

An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1. If we know that B occurred, what is the probability that A occurred too? In other words, what is the conditional probability of A given B -- P(A|B)?

1/6.

You select an employee at random from all those in a large company. An employee can be either male or female, and can be under 30 years old, between 30 and 45 years old, or over 45 years old. The table below gives the probability of each of the six possible age and gender combinations for a randomly selected employee. The probability that I select either a male or a female under 30 years of age is

.4.

You select an employee at random from all those in a large company. An employee can be either male or female, and can be under 30 years old, between 30 and 45 years old, or over 45 years old. The table below gives the probability of each of the six possible age and gender combinations for a randomly selected employee. The probability that I do not select a male over 45 years old is

.9.

In an instant lottery, your chances of winning are 0.1. If you play the lottery five times and outcomes are independent, the probability that you win all five times is

0.00001.

In an instant lottery, your chances of winning are 0.2. If you play the lottery five times and outcomes are independent, the probability that you win all five times is

0.00032.

In an instant lottery, your chances of winning are 0.1. If you play the lottery twice and outcomes are independent, the probability that you win at least once is

0.19

If A and B are independent events with P(A) = 0.6 and P(B) = 0.4, then P(A AND B) =

0.24

Suppose that A and B are two independent events with P(A) = 0.3 and P(B) = 0.3. P(A OR B) is

0.51

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A OR B) =

0.8

A basketball player makes 160 out of 200 free throws. We would estimate the probability that the player makes his next free throw to be

0.80.

A sample point refers to the

individual outcome of an experiment

A method of assigning probabilities based on historical data is called the

relative frequency method