Download 10.4-10.5 Wksht

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Algebra II Hon
10.4 – 10.5 Worksheet
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1) Given events A and B are disjoint and P(A) = 0.15, P(B) = 0.45. Find P(A or B).
2) Given: P(A) = 0.43, P(B) = 0.36, P(A or B) = 0.78. Find P(A and B).
3) Given: P(A) = 0.22, P(B) = 0.55, P(A and B) = 0.20. Find P(A or B).
4) Given: P(A) =
3
7
, find P( A ).
A card is randomly drawn from a standard deck of 52 cards. Find the probability of drawing the indicated card.
5) Not an ace.
6) A face card and a 4.
7) A heart or a diamond.
8) A 6 or a 7.
9) An ace or a spade.
10) An ace and a spade.
Two six-sided dice are rolled. Find the probability of the given event.
List the possible outcomes.
11) The sum is greater than 5.
12) The sum is 6 or 11.
13) The sum is greater than 7 and less than 11.
14) The sum is neither 5 nor 9.
15) You and your best friend are members of a high school tennis team. The coach is about to pick one player to be the
captain of the team. You estimate that there is a 34% chance you will be picked and a 54% chance that your best
friend will be picked. What is the probability that either you or your best friend will be picked?
16) Of the 120 students honored at an academic banquet, 66 won awards for mathematics and 48 for English. Fourteen
of these students won awards for both mathematics and English. One of the 120 students is chosen at random to be
interviewed for a newspaper article. What is the probability that the student won an award in mathematics or English?
17) The probability that it will rain today is 65%, and the probability that it will rain tomorrow is 20%. The probability that it
will rain today or tomorrow is 80%. What is the probability that it will rain both days?
18) A pet store has 18 light green parakeets (5 females and 13 males) and 25 sky blue parakeets (15 females and 10
males). You randomly choose one of the parakeets. a) What is the probability that it is a male or a sky blue parakeet?
b) What is the probability that it is a male and a sky blue parakeet?
19) A jar contains 12 red marbles, 16 blue marbles, and 18 white marbles.
a) Three marbles are chosen from the jar without replacement. What is the probability that none are white?
b) Four marbles are chosen from the jar with replacement. What is the probability that they are all white?
Let n be a randomly selected integer from 1 to 40. Find the indicated probability.
20) n is prime given that it is even.
21) n is even given that it is a multiple of 3.
22) n is odd given that it is greater than 21 and less than 35.
23) n is prime given that it is greater than 30.
Find the probability of drawing the given cards from a standard deck of 52 cards (a) with replacement and (b)
without replacement.
24) A club, then a diamond
25) A jack, then a 7.
26) A 5, then a face card, then an ace.
27) A king, then another king, then a third king
28) The probability of selecting a rotten apple from a basket is 14%. What is the probability of selecting 3 good apples
when selecting 1 apple from each of 3 different baskets?
29) Each drawer in a 5-drawer file cabinet has 50 folders. You are searching for some information that is in one of the
folders, but you do not know which folder has the information.
a) What is the probability that the information is in the first drawer you choose?
b) What is the probability that the information is not in the first folder you choose?
30) The table shows the eye color of 200 people. What is the probability that a randomly selected person:
a) is male
b) has blue eyes
c) if female, has hazel eyes
d) if brown eyes, is female
Green eyes Blue eyes Brown eyes Hazel eyes
Male
24
31
11
23
Female
15
16
39
41