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%
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
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 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
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
Peter, Ricky, Mary and Sam are candidates for class president and vice president for the seventh grade. How many ways can president and vice president be chosen?
President (4) * Vice president (3) = 4*3
= 12 ways
What is a favorable outcome?
The outcome you are looking for. P(event), it is the event
How likely is it that a number cube is tossed and it lands on 8?
impossible
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%
If the probability of giving birth to a girl is 0.48, what is the approximate probability of giving birth to 4 consecutive girls?
P(4 girls) = 0.48 * 0.48 * 0.48 * 0.48
= 0.053
Define "sample space"
The set of all possible outcomes of one or more events.
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%
What is the probability of rolling three 4's in a row on a number cube?
P(4) = 1/6 first attempt
P(4) = 1/6 second attempt
P(4) = 1/6 third attempt
total Prob = 1/216
Define "event."
A collection of one or more 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