Probability
The last 36 boat rentals at a boat rental company were 14 sunfish, 4 kayaks, and 18 rowboats. Use this information to complete parts (a) through (c).
a) Determine the empirical probability that the next boat rental is a sunfish.
b) Determine the empirical probability that the next boat rental is a kayak.
c) Determine the empirical probability that the next boat rental is a rowboat.
b) 1/9
c) 1/2
A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a black face card (king, queen, or jack).
a) The odds against selecting a black face card are _:_.
b) The odds in favor of selecting a black face card are _:_.
b) 3:23
For an outdoor concert by the city orchestra, concert organizers estimate that 15,000 people will attend if it is not raining. If it is raining, concert organizers estimate that 6000 people will attend. On the day of the concert, meteorologists predict a 30% chance of rain. Determine the expected number of people who will attend this concert.
It is expected that 12,300 people will attend the concert.
You decide to take a science course, an English course, and a mathematics course during the next term. The available courses that you can take are listed in the table.
Science
Geology (G)
Oceanography (O)
Biology (B)
Physics (P)
English
Composition (C)
Poetry (R)
Mathematics
Trigonometry (T)
Statistics (S)
Determine the number of points in the sample space. The number of points in the sample space is __.
16
P(A or B)=P(A)+P(B)-P(A and B)
A monk crossbred plants, which can have purple or white flowers, and obtained 766 plants with white flowers and 371 plants with purple flowers. Find the empirical probability that a plant had each type of flower.
a) The probability a plant had white flowers is __. (Round to the nearest hundredth as needed.)
b) The probability a plant had purple flowers is __. (Round to the nearest hundredth as needed.)
b) 0.33
Birth defects affect 1 in 21 babies born in a certain country each year.
What are the odds against a baby born in this country having a birth defect?
20:1
Use the following statement to answer parts a) and b). Two hundred raffle tickets are sold for $3 each. One prize of $200 is to be awarded. Winners do not have their ticket costs of $3 refunded to them. Raul purchases one ticket.
a) Determine his expected value.
b) Determine the fair price of a ticket.
a) $-2.00
b) $1.00
For the jumble puzzle RAHIC, complete the parts below.
a) Determine the number of possible arrangements of the letters given.
b) What is the word when the letters are placed in the proper order?
a) 120
b) Chair
Find the indicated probability. If P(A and B)=0.2, P(A)=0.6, and P(B)=0.5, find P(A or B).
P(A or B)=0.9
A cooler contains 100 ice cream bars. There are 10 Vanilla bars, 40 Mint Chocolate Chip bars, 30 Strawberry bars, and 20 Rocky Road bars. If one bar is randomly selected determine the probability that the bar selected is Vanilla.
The probability that the bar selected is Vanilla is __. (Type an integer or a simplified fraction.)
1/10
Birth defects affect 1 in 21 babies born in a certain country each year.
What is the probability that a baby born in this country will have a birth defect?
1/21
You decide to take a science course, an English course, and a mathematics course during the next term. The available courses that you can take are listed in the table.
Science
Geology (G)
Oceanography (O)
Biology (B)
Physics (P)
English
Composition (C)
Poetry (R)
Mathematics
Trigonometry (T)
Statistics (S)
a) Determine the probability that biology is selected. The probability is __.
b) Determine the probability that physics and composition are selected. The probability is __.
c) Determine the probability that oceanography is not selected. The probability is __.
a) 1/4
b) 1/8
c) 3/4