University:
High School
Course:
High School Algebra
Academic year:

2019
Views:

464

Pages:

4
Author:

Zack Bernard

Sample Spaces & Probability In your own words, write the meaning of each vocabulary term. probability experiment is an action/trial that has varying results. outcome the results that you get event is a collection of one or more outcomes. sample space the set of all possible outcomes probability of an event = P(e) = decimal form the likely hood/chance that the event will occur theoretical probability outcomes have equal chance of favorable outcomes total # of outcomes geometric probability calculating the ratio of two lengths areas volumes experimental probability based on repeated trials of a probability experiment of successes total # of trials Core Concepts Probability of the Complement of an Event The probability of the complement of event A is P(A) = 1 - P(A) opposite i.e. P(more than 4) so P(not getting more than 4) = P(≤ 4) 5, #6 6 - 1 = 5 6 = 5/6 in one group or the other 3. When two tiles with numbers between 1 and 10 are chosen from two different bags, there are 100 possible outcomes. Find the probability that (a) the sum of the two numbers is not 10 P(A) = Sum = 10 1+9 2+8 3+7 4+6 5+5 6+4 7+3 8+2 9+1 P(A) = 9/100 Then P(Ā) = 1 - P(A) = 100/100 - 9/100 = 91/100 = 0.91 and (b) the product of the numbers is greater than 10 P(B) = not greater than 10 (aka 10 or less) 11=1 21=2 31=3 41=4 51=5 61=6 71=7 81=8 91=9 101=10 12=2 22=4 32=6 42=8 52=10 62=12 13=3 23=6 33=9 14=4 24=8 44=16 15=5 25=10 55=25 16=6 26=12 66=36 17=7 27=14 77=49 18=8 28=16 88=64 19=9 29=18 99=81 110=10 210=20 1010=100 P(B) = 27/100 P(B) = 1 - P(B) = 100/100 - 27/100 = 73/100 = 0.73 4. At a school dance, the parents sell pizza slices. The table shows the number of pizza slices that are available. A student chooses a slice at random. What is the probability that the student chooses a thin crust slice with pepperoni? Pepperoni Plain Cheese Thin Crust 34 Thick Crust 8 P(A) = # of favorable outcomes / total # of outcomes. 34 / (34 + 36 + 8 + 12) = 34 / 90 = 0.37