Theoretical
ONE DICE IS THROWN, WHAT IS THE PROBABILITY OF ROLLING A 3
P(3) = 1/6
A coin is flipped 100 times and the results were 25 heads and 75 tails. Based in the experiment what is the probability of flipping the coin and getting heads up?
P( head) = 25/100
= 1/4 or 0.25 or 25%
You know you have four different pants and three different shirts, how many combinations of pants and shirts can you make?
Pants(4) * Shirt (3) = 4*3
= 12 combinations
How likely is it that a coin is flipped and lands on tails?
1/2 or equally likely
A fruit bowl has 3 apples and 3 pears. What is the probability of choosing a pear, then another pear, without replacement?
P(pear then pear) = 3/6 x 2/5
= 6/30
= 1/5
A carousel has 2 jumping horses and 2 standing horses. What is the probability of randomly selecting a jumping horse?
P(Jumping horse) = 2/4
=1/2, or 0.50, or 50%
A coin is tossed 1000 times resulting in 700 heads and 300 tails. What does this mean about the coin?
It is not fair
What is the number of possible outcomes for spinning one spinner with 8 equal sections and another spinner with 6 equal sections?
first spinner (8) * second spinner (6) = 8*6
= 48 possible outcomes
How likely is it that a number cube is tossed and lands on 3?
1/6 or unlikely
You flip a coin twice, what is the probability of 2 tails?
P( tail and tail)= 1/2 *1/2
= 1/4 or 0.25 or 25%
What is the probability of rolling two odd numbers in a row with a standard number cube?
P(odd) = 3/6 first try
P(odd) = 3/6 second try
Total P(odd) = 3/6 *3/6
= 9/36
= 1/4 or 0.25 or 25%
A letter tile is randomly selected from a bag, recorded, and replaced 16 times. The results are listed below. What is the experimental probability of selecting the letter "E"? A = 4, E = 5, I = 4, and O = 3
P(E) = 5/16
A list, table, or tree diagram of all possible outcomes. OR the total possible outcomes
How likely is it that a number cube is tossed and it lands on 8?
Impossible or zero
You have 10 starburst in a bag with 5 yellow and 5 pink. What is the probability of choosing a pink and then a yellow, without replacement?
P(pink then yellow) = 5/10 * 5/9
= 25/90
= 5/18
There are 3 red marbles, 2 green marbles. One marble is taken out and not replaced. A second marble is then taken out and not replaced. What is the probability that a red marble and then another red marble is chosen
P(red)= 3/5 first attempt
P(red)= 2/4 second attempt
P(red then red) = 3/5 * 2/4
=6/20
= 3/10 or 0.3 or 30%
Pedro recorded the types of birds that visit his bird feeder. Based on the results below, what is the probability the next bird will be a chickadee? Woodpecker = 3, Chickadee = 5, Cardinal = 1, Sparrow = 13, Blue Jay = 3; 25 total birds
P(Chickadee) = 5/25
=1/5 or 0.2 or 20%
Define "independent event."
When one event occurs and the item is replaced before the second event occurs.
How likely is it that a number cube is tossed and lands on any number 1-6?
100% or certain
You flip a coin and roll a die. What is the probability of getting one and a tails up?
P(one and tail) = 1/6 * 1/2
= 1/12
Jenny spins a spinner with 5 equal sections numbered 1-5 and she spins another spinner with 5 equal sections with the letters A-E. What is the probability she will spin a 4 and a B?
P(4)= 1/5
P(B) = 1/5
P(4 and B)= 1/5 *1/5
= 1/25 or 0.04, or 4%
A six-sided die is thrown 50 times. Using the list below, how does the theoretical probability of rolling a 3 compare to the experimental probability of rolling a 3? This is the list of the number rolled followed by the quantity 1:8, 2:6, 3:7, 4:12, 5:10, 6:7
The experimental probability =7/50
=0.14 or 14%
The theoretical probability = 1/6
= 0.167 or 16.7%
Define "dependent event."
When one event occurs and that item is not replaced before the second event occurs.
If the weather channel says there's a 1/3 chance of rain, what is the probability written as a percent?
33.3...%
There are 4 cokes, and 4 grape sodas in an Ice chest. What is the probability of randomly selecting a coke and then a grape soda, without replacement?
P(coke then grape) = 4/8 * 4/7
= 16/56
= 2/7