#1 The access code for a gymlocker consists of three digits. Each digit can be any number from 0 through 6,

and each digit can be repeated. Complete parts (a) through (c).

(a) Find the number of possible access codes.

(b) What is the probability of randomly selecting the correct access code on the first try?

(c) What is the probability of not selecting the correct access code on the first try?

#2 A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of four digits. The first digit cannot be 2 and the last digit must be even.

How many different codes are available? (Note that 0 is considered an even number.)

#3

Business degrees Nonbusiness degrees Male 188667 614843 Female 162179 909145

(a) Find the probability that a randomly selected student is male, given that the student received a business degree.

#4 Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a seven and then selecting a jack.

#5 A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling a number greater than 3.

The probability of tossing a head and then rolling a number greater than 3 is ?

(Round to three decimal places as needed.)

#6 In a recent year, about 34% of all infants born in a country were conceived through in-vitro fertilization (IVF). Of the IVF deliveries, about twenty-two percent resulted in multiple births.

(a) Find the probability that a randomly selected infant was conceived through IVF and was part of a multiple birth.

(b) Find the probability that a randomly selected infant conceived through IVF was not part of a multiple birth.

(c) Would it be unusual for a randomly selected infant to have been conceived through IVF and to have been part of a multiple birth?

#7 According to a study, 76% of K-12 schools or districts in a country use digital content such as ebooks, audio books, and digital textbooks. Of these 76%, 5 out of 10 use digital content as part of their curriculum.

Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum.

#8 By rewriting the formula for the multiplication rule, you can write a formula for finding conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(BA)=P(AandB)P(A). Use the information below to find the probability that a flight departed on time given that it arrives on time.

The probability that an airplane flight departs on time is 0.89.

The probability that a flight arrives on time is 0.86.

The probability that a flight departs and arrives on time is 0.82.

The probability that a flight departed on time given that it arrives on time is?