Experimental and Theoretical
Independent and Dependent
Counting Principle
Tree diagram and Matrix
General challenges
100
The ratio of the number of favorable outcomes to the number of possible outcomes when all possible outcomes are equally likely.
What is theoretical probability
100
When two or more events in which the outcome of the first doesn’t affect the outcome of the other events.
What is independent events
100
A way to find out the total amount of outcomes possible in an situation by multipling
What is the counting priniple
100
Diagram where there are two or more options. The options are put on different paths, showing all the possible combinations
What is the tree diagram
100
A box is filled with candies in different colors. We have 40 white candies, 24 green ones, 12 red ones, 24 yellow ones and 20 blue ones. If we have selected one candy from the box without peeking into it, find the probability of getting a green or red candy.
36/120 or 3/12
200
the ratio of the number of times an event occurs on a repeated trial of experiment
What is experimental probability
200
Two or more events in which the outcome of the first event affects the outcome of the second event.
What is dependent events
200
What are the diagrams used in the counting principle?
What is the tree diagram and matrix
200
A matrix has a set of items on the top and on the right. What is in the middle of the matrix?
What is the pairs/ answer
200
From a deck of 52 cards we draw 2 cards one by one without replacement. Find the probability that both cards are Aces.
4/52 * 3/51= 12/2652 or 1/221
300
If Jeffy picks out 3 Marruci bats, 5 Easton bats and 2 Demarini bats is this Experimental or theoretical and what are the odds he picks a Maurice?
What is experimental and 2/10
300
If someone takes out one of ten baseball cards and doesn't put it back in the pile, will the next card picked be independent or dependent?
What is dependent
300
How do you solve for the counting principle?
What is multiplication
300
What is the only circumstance where you would use a matrix
What is 2 sets of items
300
One hundred people line up to board an airplane. Each has a boarding pass with an assigned seat. However, the first person to board has lost his boarding pass and takes a random seat. After that, each person takes the assigned seat if it is unoccupied, and one of unoccupied seats at random otherwise. What is the probability that the last person to board gets to sit in his or her assigned seat?
What is 1/100
400
If there are 5 dogs, 3 doges,7 pupperts and 6 woofers, What are the odds you are going to pick a doge or woofer? Is it experimental or theoretical
What is 9/21 and experimental
400
Is a fair game going to be independent or dependent
What is independent
400
One quarter, one dime and one six-sided die are tossed. How many results are possible?
What is 24
400
Draw and show a tree diagram with chocolate,vanilla and strawberry ice cream as the first set, cone, cup and bare handed as the second set and chocolate, rainbow and no sprinkles as the third set.
What is a good job
400
In a game there are 70 people in which 40 are boys and 30 are girls, out of which 10 people are selected at random. One from the total group, thus selected is selected as a leader at random. What is the probability that the person, chosen as the leader is a boy?
The total groups contains boys and girls in the ratio 4:3, so theoretically that will be one group. So 4+3=7 and the answer is 4/7.
500
If a dice is rolled 500 times and a 3 comes 313 times. What will be the experimental probability of 3 showing up in the dice?
The total number of trials = 500. Number of occurrences of where 3 will come = 313 Experimental probability of getting a 3 = 313/500.
500
In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a spades card. If any of these task are successful, then you win the game. What is the probability of winning?
1/48
500
How many ways can the letters of the word TRIANGLE be arranged?
Here there are a total of eight choices for the first letter, seven for the second, six for the third, and so on. By the multiplication principle we multiply for a total of 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320 different ways.
500
If there are three sets of topics what shape would a matrix be?
What is a cube
500
Mr. Smith works on the 13th floor of a 15 floor building. The only elevator moves continuously through floors 1,2, . . . ,15,14, . . . ,2,1,2, . . ., except that it stops on a floor on which the button has been pressed. Assume that time spent loading and unloading passengers is very small compared to the traveling time.Mr. Smith complains that at 5pm, when he wants to go home, the elevator almost always goes up when it stops on his floor. What is the explanation?
The elevator will almost always be going up with a 13 out of 15 chance because when he ends his work the elevator needs to be on floor 14 or 15 to go down but to go up the elevator can be on floor 1,2,3,4,5,6,7,8,9,10,11,12 or 13.
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