MATH 1351 – Course Material, 2026 – Lecture notes and exam
preparation content
The probability that at least one of the dice is 4 - correct answer ✔✔ 11/36
The probability that the sum is 7 - correct answer ✔✔ 6/36
Given that the sum is 7, find the probability that one of the dice is 4 - correct answer ✔✔ 2/6
It cost a bakery $6 to bake a cake. If it sells on the first day,the bakery chargers $15. If it sells on
the 2nd day the bakery charges $9. The chances that the cake will sell on the first day is 65%
and on the second 23%. What is the expected profit. - correct answer ✔✔ 15(.65)+9(.23)-6(1)
A manager must choose 5 secretaries from among 12 applicants and adding them to different
stations. How many different arrangements are possible. - correct answer ✔✔ C(12,5)
Barbara is a research biologist for green carpet lawns. She is studying the effects of fertilizer
type, temperature at time of application and water treatment after. She has four types, three
temperature zones and three water treatments. How many different configurations are
possible? - correct answer ✔✔ 4*3*3
There are three nursing positions to be filled at Lilly hospital. Position one is supervisor position
two is at night supervisor. Position three is coordinator. There are 15 candidates qualified for all
three. How many different ways can these positions be filled. - correct answer ✔✔ P(15,3)
Find the number of ways to arrange the word Mississippi. - correct answer ✔✔ 11!/4!4!2!
Mean - correct answer ✔✔ Add together and divide.
preparation content
The probability that at least one of the dice is 4 - correct answer ✔✔ 11/36
The probability that the sum is 7 - correct answer ✔✔ 6/36
Given that the sum is 7, find the probability that one of the dice is 4 - correct answer ✔✔ 2/6
It cost a bakery $6 to bake a cake. If it sells on the first day,the bakery chargers $15. If it sells on
the 2nd day the bakery charges $9. The chances that the cake will sell on the first day is 65%
and on the second 23%. What is the expected profit. - correct answer ✔✔ 15(.65)+9(.23)-6(1)
A manager must choose 5 secretaries from among 12 applicants and adding them to different
stations. How many different arrangements are possible. - correct answer ✔✔ C(12,5)
Barbara is a research biologist for green carpet lawns. She is studying the effects of fertilizer
type, temperature at time of application and water treatment after. She has four types, three
temperature zones and three water treatments. How many different configurations are
possible? - correct answer ✔✔ 4*3*3
There are three nursing positions to be filled at Lilly hospital. Position one is supervisor position
two is at night supervisor. Position three is coordinator. There are 15 candidates qualified for all
three. How many different ways can these positions be filled. - correct answer ✔✔ P(15,3)
Find the number of ways to arrange the word Mississippi. - correct answer ✔✔ 11!/4!4!2!
Mean - correct answer ✔✔ Add together and divide.
