Simple Probability
What is the probability of rolling a one with two 6 sided dice?
The probability of rolling a sum of one with two dice is 0/36.
There 3 cars, plus 3 colors, and 4 different rim styles. How many outcomes are possible?
36
The senior class is planning a trip to the Virgin Islands. The class officers are exploring various travel options. From the high school, they will travel to Miami either by car ,bus ,train or plane . To travel to St. Thomas from Miami, they can take a plane or a ship . Draw s tree diagram that clearly illustrates the each of the possible ways the group can travel on their trip. How many different ways can they travel?
Drawing and 8 ways
When an event has a 0% chance of happening.
What is Impossible?
What is the probability of rolling a six on a 6 sided die?
The probability of rolling a six is 1/6.
Susey Cue has 3 dresses, 4 pairs of shoes, and 2 purses. How many combination can Susey Cue make?
24
Three coins are tossed: a dime, a nickel and a penny. Draw a tree diagram that shows all of the possible outcomes for flipping the three coins. What is the number of outcomes?
A tree diagram and 8
A list of all outcomes.
What is a sample space?
What is the probability of getting a jack from a deck of cards?
The probability of getting a jack from a deck of cards is 1/13.
The digits 0, 1, 2, 3, and 4 are to be used in a 4-digit ID card. How many different cards are possible if repetitions are permitted
Four slots will be needed. Each slot will have five digits that could be used. The total number of identification cards that can be made is (5)(5)(5)(5)=625
What is the sample space of flipping a coin two times in a row?
HH HT TH TT
A visual representation of all the outcomes.
What is a tree diagram?
A bottle contains 2 green balls and 1 red ball. A ball is drawn at random. What is the probability that the ball is red?
1/3
A nurse has three patients to visit. How many different ways can she make her rounds if she checks each patient once?
For her first visit, she could visit any of the 3 patients. For her second visit, she can visit either of the 2 remaining patients. On her last visit, there will be only one patient left to see. The number of different ways can she can make her rounds is: (1st visit)(2nd visit)( 3rd visit) = 3 x 2 x 1 = 6
A tree diagram is useful in determining the __________ of a probability experiment
Possible outcomes
When there is more than one event.
What is a compound event?
What is the probability of getting a head when picking a card from a deck of cards?
12/52 = 3/13
Suppose now that the numbers in the lunch pin codes cannot be repeated, how many different pins cards can be created?
Because the numbers cannot be repeated, once a number is used, it cannot be used again. Therefore, there will be 10 options for the first position, 9 options for the second position, 8 for the third, and 7 for the fourth. (10)(9)(8)(7)=5040
Draw a tree diagram that can illustrate the different single-dip ice cream sundaes can be made from the ice cream flavors: chocolate, vanilla, and strawberry and the topping choices: fudge and butterscotch.
Tree Diagram with 27 outcomes.
When we "think" we know what should happen.
What is theoretical probability.