Test 3 name:
MAT 126
2.3 Compute probabilities of mutually exclusive events, complementary events, and the union of events
1. A box contains four red marbles, seven white marbles, and five blue marbles. If one marble is drawn at random, find the probability for each of the following:
(a) A blue marble is drawn.
(b) A red or a blue marble is drawn.
(c) Neither a red nor a blue marble is drawn.
2.4 Use a tree diagram to compute probabilities
2. A box contains four red marbles, seven white marbles, and five blue marbles. If two marbles are drawn one at a time, find the probability that both marbles are white if the draws are made as follows:
(a) With replacement
(b) Without replacement
3. The probability of Ann passing her math test is 90%. The probability she passes her English test is 80%. The probability she passes her Chemistry test is 70%. What is the probability she passes all three tests?
2.8 Calculate conditional probabilities
4. A pair of dice are rolled. Calculate the following probabilities for the given events.
A = The sum is greater than 10
B = The first die shows a six
C = The first die shows a one
D = The sum of the numbers rolled is 7
a. P(A|B)
b. P(D)
c. P(D|B)
d. P(C|A)
2.7 Use odds in favor and odds against an event to solve probability problems
5. If the odds in favor of the Phillies winning their next game are 8 to 4, what is the probability that they will win?
3.3 Calculate angle measure in a triangle, in a regular polygon, and when parallel lines are cut by a transversal
5.1 State and apply the SAS, ASA, and SSS congruence properties
5.2 State and apply the SAS, AA, and SSS similarity properties