Download A compound event combines two or more single events. Make an

A compound event combines two or more single events.
Make an organized list to show the sample space.
(all possible outcomes)
The total number of outcomes is needed to find probabilities!
Independent events have no effect on one another.
For example:
How many possible outcomes are there when spinning this spinner,
and tossing a coin?
Make a tree diagram or an organized list to
find them all.
The fundamental counting principle is a multiplication rule that
can be used to figure out the total number of outcomes for a
compound event.
1) Count the number of possible outcomes for each event.
spinning the spinner, tossing a coin
3
2
2) Then multiply the numbers for each event:
Total number of possible outcomes: 6
3x2
To find the probability of a compound event, multiply the probability
of one event by the probability of the other event.
Sample space for compound event of rolling two dice.
The probability of a compound event:
P(A and B)= P(A) x P(B)
Jamie rolls a six-sided cube with the numbers 1 through 6 a total of
two times. What is the probability that her first roll is an even number,
and her second roll is an odd number?
Answer: 9 out of 36 (look at the sample space)
which reduces to ¼.
P(even and odd)= P(even) x P(odd)
P(even and odd) = 1
2
x
1 = 1
2
4
Kristen rolls two six-sided dice with the numbers 1 through 6. What is
the probability of getting "double ones" or "snake eyes"?
P(1 and 1)= P(1) x P(1)
P(1 and 1)= 1
6
x
1
6
=
1
36