Name ______________________
7.3 Probability of Compound Events
(https://www.youtube.com/watch?v=kxWyRyCba6A)
Compound Events are _______________________________________________ that
can be ________________________or ______________________ of each other.
Independent Events:
__________________________________________________________________
Example 1: One letter tile is selected and the spinner is spun. What is the probability that both will be a vowel?
a) P (selecting a vowel from tiles) =
b) P(spinning a vowel) =
c) P (both letters are vowels) =
d) P(both letters are A’s) =
e) P(both are consonants) =
Example 2: A penny is tossed and a number cube is rolled. Find each probability.
a. P(tails and 3)
b. P(heads and odd)
Dependent events: _______________________________________________________________
Example 3: There are 4 oranges, 7 bananas, and 5 apples in a fruit basket. Megan selects a piece of fruit at random,
eats it, and then Terrance selects a piece of fruit at random. Find the probability that two apples are chosen.
Since the first fruit is not replaced, the 1 s t event affects the 2 n d event! They are dependent events.
a) P(first piece is an apple) =
NOTE: How many fruits are left in the basket now, after Emma chose one apple and ate it? _______
b) P (second piece is an apple) =
c) P (two apples) =
d) P(two bananas) =
e) P(orange then apple) =
f) P(apple then banana)=
g) P(two oranges)=
Example 3: Angelina makes 70% of her free throws. What is the probability that she will make her next two free throws?
For Exercises 1–6 below, a number cube is rolled and the spinner at the right is spun. Find each probability.
Are the events of rolling a cube and spinning a spinner independent events? ________________
Why or why not?__________________________________________________________
1. P(1 and A) =
2. P(odd and B )=
3. P(prime and D) =
4. P(greater than 4 and C) =
5. P(less than 3 and consonant) =
6. P(prime and consonant)=
7. What is the probability of spinning the spinner above 2 times and getting a vowel each time?
8. What is the probability of rolling a number cube 2 times and getting a number less than 3 each time?
Each spinner shown below is spun. Find each probability.
Are the events of spinning a first spinner then spinning the second spinner independent events? ________________
Why or why not?_______________________________________________________________________________
9. P(A and 2)
10. P(vowel and even)
11. P(consonant and 1)
12. P(D and greater than 1)
There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble is selected IT IS NOT REPLACED.
Are the events of picking a marble then picking another marble independent events? ______________________
Why or why not?_____________________________________________________________________________
13. P(red and then yellow) =
14. P(blue and then yellow) =
15. P(red and then blue) =
16. P(two yellow marbles)=
17. P(two red marbles in a row) =
18. P(three red marbles)=
Name ______________________
The two spinners at the right are spun. Find each probability.
HOMEWORK 7.3
1. P(4 and C)
2. P(1 and A)
3. P(even and C)
4. P(odd and A)
5. P(greater than 3 and B)
6. P(less than 5 and B)
There are 10 yellow, 6 green, 9 orange, and 5 red cards in a stack of cards turned facedown.
Once a card is selected, it is not replaced. Find each probability.
7. P(two yellow cards)
8. P(two green cards)
9. P(a yellow card and then a green card)
10. P(a red card and then an orange card)
11. P(two cards that are not orange)
12. P(two cards that are neither red nor green)
13. A store sells a box of highlighters that contains 4 yellow, 3 blue, 2 pink, and 1 green highlighter. What is the probability of
randomly picking 1 blue and 1 pink highlighter from the box?
For Exercises 14 and 15, use the information in the table.
At a car rental office, 63% of the customers are men and 37% are women.
15. What is the probability that the next customer will be a woman who requests a convertible?
16. What is the probability that the next customer will be a man who requests either a compact car or luxury car?
Identify the properties.
17) 11 · 15 = 15 · 11
20)
18) 31 + (4 + 17) = (31 + 4) + 17
21) 9x + 0 = 9x
19) 5( 3 + a) = 15 + 5a
22) −8 + 8 =
Fill in the blank.
23) Absolute value measures a number’s __________________________ from zero.
24) |−13 | − |−20 | =
25) |−11 | + |14| =