1. Set x= (5,7,11,13,16,19) Set y= (1,2,5,13,19)
a. what is the union of sets x and y
b. what is the intersection of sets x and y
c. create your own set z that is a subset of x

2.Let set 1 be the entire alphabet. let set 2 = (w,x,y,z)
a. what is the complement of set 2 in set 1
b. set 3 =(w,x,z). is set 3 a proper subset of set 2 . please explain in words

3. suppose you are going to flip a coin. what is the set of possible outcomes for this
suppose you flip the coin twice. what is the set of possible outcomes for this
if you flip the coin twice what are the chances that you will get one head and one tail? ( i.e 1 in 3, 1 in 4)

4. consider 2 regular dices- how many possible outcomes (sum of dots) are there if you throw the two dice on the board? what are the chaces the sum of both dice will be equal to 6. how about both dice again but the sum of 7 ?

Solution Summary

Sets, Complements and Probability are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

... 3. a). The complement of set 2 in set 1 is the set (let's ... on subsets, proper subsets, intersections and unions of two sets, complements of sets, etc) while ...

... basic tools are properties of set composition (intersection, union, and complement), as well as the subadditivity and addition laws of probability. ...

... "b" is 6. "c" is 4. Complement to an event is the set of outcomes not in this event. "d" is 5. Probability based on personal previous experience and intuition ...

Probability Problem Set on Estimation and Likelihood. ... 6)If an event is the complement of another event, must ... 7)Finding Complements a.Find P(A) given that P(A ...

... What set represents the sample space ... of event A and the probability of its complement is 1 ... It is possible for a probability to lie outside the interval [0; 1]. 26 ...

... coin (b) Sample space is the set of all ... Weather forecasting is another example of subjective probability. ... a Venn diagram to illustrate (a) complement of an ...

... In probability there are complements of events which are ... is being considered is correct, the complementing events will ... is based on finite sets of possibilities ...

... d. Identify techniques for reducing the probability of dysfunctional ... skills of team members strongly complement each other ... personnel for any of the skill sets. ...

... Can the multiplication law be used to determine this probability? ... The median always exists in a set of numerical ... An event (eg, A) and its complement are always ...