Determine Outcomes of Compound Events

You are playing a game using this spinner. You get one spin on each turn. Find a complete probability model for one spin of the spinner.

• P(number ​3)=1/4, ​P(letter ​A)= 1/4

• P(number)=1/2​, ​P(letter ​Y)= 1/4

• P(letter)=1/2​, P(number)=1/2

• P(letter)=1/2​, ​P(number ​5)= 1/4

Tree diagram: shows the total possible _________________________ of an event.

• probability

• answers

• outcomes

• events

A _________________________ consists of two or more simple events.

• compound event

• single event

• outcome event

roll dice, flip coin and problem with replacement are examples of:

• dependent events

• independent events

The sample space tree diagram for a team of three students is shown.  What is the probability that the team would consist of at least 2 girls?

• ½

• ⅜

• ¾

• ⅙

The sample space of picking a 2 character password using the letters G, R, O, Y, P, and B where double letters are not allowed is shown. Find the probability of choosing a password with one G and one R.

A fair coin is tossed three times in succession. The sample space is shown, where H represents a head and T represents a tail. Find the probability of getting exactly two heads.

A single number cube is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is 4.

What is the probability of drawing a blue color and a number 4?

• 2/5

• 1/6

• 3/15

• 1/15

A fair die is tossed twice. Find the probability of getting a 4 or 5 on the first toss, and a 2, or 3 in the second toss.