Theoretical
ONE DICE IS THROWN, WHAT IS THE PROBABILITY OF ROLLING A 3
P(3) = 1/6 or 0.167 or 16.7%
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%
Vincent flipped 3 coins at once during an experiment. During the first 40 trials, Vincent landed on tails on all coins 4 times. How many times would he land on all tails in 120 trials?
12 times
Define "theoretical probability'. Is it based on calculation or experiment?
It is the calculated probability
How likely is it that a coin is flipped and lands on tails?
1/2
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 is the probability of landing a tails?
P(tails) = 3/10
At an assembly, 7 out of the first 10 students entered the gym with a backpack. If there are 700 students in total, how many would you assume had a backpack on?
490 students
Define "experimental probability."
The probability of what actually occurs based on an experiment.
How likely is it that a number cube is tossed and lands on 3?
1/6
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
Vincent flipped 3 coins at once during an experiment. During the first 40 trials, Vincent landed on heads on all coins 22 times. How many times would he land on all heads in 120 trials?
66 times
What is the sample space?
A list of all possible outcomes
How likely is it that a number cube is tossed and it lands on 8?
never going to happen
you have 100 starburst in a bag with 50 yellow and 50 pink. what is the probability of choosing a pink and then a yellow, without replacement?
P(pink then yellow) = 50/100 * 50/99
= 2500/9900
= 25/99
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%
At an assembly, 4 out of the first 10 students entered the gym wearing green. If there are 700 students in total, how many would you assume wore green?
280 students
What is probability
The likelihood of something happening
How likely is it that a number cube is tossed and lands on any number 1-6?
100%
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%
Briana did an experiment to determine how many times she would land a 6 when rolling a dice. If Briana rolled the dice 60 times and landed on the number 6 8 times, how many times would she land on 6 when rolling the dice 180 times?
24 times
What does the denominator represent in probability?
The total number of outcomes
How likely is it that a number cube lands on 2 and a coin lands on heads?
1/12
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