Probability of Independent Events - Worksheet - PIE1 - Answers.pdf

PIE1
Name:
Teacher:
Date: _
Period:
Probability of Independent Events
*
1) Mr. Gillen may take any of 3 buses, A, B, or C, to get to the same train station. He may
then take the 6* Avenue train or the 8 Avenue train to get to work. The buses and trains
arrive at random and are equally likely to arrive. What is the probability that Mr. Gillen
takes the B bus and the 6th Avenue train to get to work
Tlfcus B) =
"P ((*
P(ArtB) = P(A).P(6)
1 _
2) A coin is tossed 3 times.
a) Draw a tree diagram and list the sample space that shows all the possible outcomes.
M
H
T
U
T
H
T
Spaa *.
-THU.TMT, TTM ,
TTT
T
M
T
H
T
14
b) Using the counting principle, how many possible outcomes are there
c) Find the probability that the coin will land heads up all 3 times
8

3) Two dice are rolled. Find the probability that the first die will land on 5 and the second
die will land on an even number.
4) A fair coin and a fair die are tossed simultaneously. Find the following probabilities:
a)P(H,4) - P(H) . (4) b)P(T,odd) = (t) • (odd)
I
z
I
IZ
c)P(T, number less than 5) = P(t) • P(*USS-ffuin 5)
*1
5) A spinner is divided into 3 equal parts labeled A, B, and E. If the spinner is spun twice,
what is the probability that the spinner will land on a:
a) vowel both times B) vowel then consonant
i,is
3 3
2
3 3
c) consonant both times