Use the counting principle to determine the answer to part (a). Assume that each event is equally likely to occur. Two coins are tossed. (a) Determine the number of sample points in the sample space. (b) Construct a tree diagram and list the sample space. Determine the probability that (c) No tails are tossed. (d) Exactly one tail is tossed. (e) Two tails are tossed. (f) At least one tail is tossed.

An individual can be classified as male or female with red, brown, black, or blond hair and with brown, blue, or green eyes. (a) How many different classifications are possible (for example, male, red-headed, blue-eyed)? (b) Construct a tree diagram to determine the sample space. (c) If each outcome is equally likely, determine the probability that the individual will be a male with black hair and blue eyes. (d) Determine the probability that the individual will be a female with blond hair.

Supponiamo che $X$ abbia una distribuzione uniforme discreta sugli interi da 0 a 9. Determina la media, la varianza e la deviazione standard della variabile casuale $Y = 5X$ e confronta i risultati corrispondenti per $X$.

A hat contains four marbles: l yellow 1 red, 1 blue, and 1 green. Two marbles are to be selected at random without replacement from the hat. (a) Determine the number of sample points in the sample space. (b) Construct a tree diagram and list the sample space. (c) Exactly 1 red marble. (d) at least I marble that is not red. (e) no green marbles.

Use the counting principle to determine the answer to part (a). Assume that each event is equally likely to occur. A single fair die is rolled twice. (a) Determine the number of sample points in the sample space. (b) Construct a tree diagram and list the sample space. Determine the probability that (c) A double (a 1, 1 or 2, 2, etc.) is rolled. (d) A sum of 8 is rolled. (e) A sum of 2 is rolled. (f) Are you as likely to roll a sum of 2 as you are of rolling a sum of 8?

Three coins are tossed. (a) Determine the number of sample points in the sample space. (b) Construct a tree diagram and list the sample space. Determine the probability that (c) No heads are tossed. (d) At least one head is tossed. (e) Exactly one head is tossed. (f) Three heads are tossed.

Two coins are tossed.

Find the probability of tossing two heads.

¿Tener / dependientas / algo / que / ser / más / barato?

Evaluate the expression. 18 -( 8 - 5)².

Two coins are tossed. If A is the event “two heads” and B is the event “two tails,” are A and B mutually exclusive? Are they complements?

convert the rectangular equation to polar form. Assume a > 0.

$$x^2+y^2=16$$

Use the Basic Counting Principle. At a restaurant, a complete dinner consists of an appetizer, an entree, a dessert, and a beverage. The choices for the appetizer are soup and salad; for the entree, the choices are chicken, fish, steak, and lamb; for the dessert, the choices are cherries jubilee, fresh peach cobbler, chocolate truffle cake, and blueberry roly-poly; for the beverage, the choices are coffee, tea, and milk. How many complete dinners are possible?

Your television remote control has buttons from digits 0-9. If you press two buttons, how many numbers are possible if (a) the same button may be pressed twice. (b) the same button may not be pressed twice.

Two coins are tossed. What is the probability of both coins landing on heads?