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 on 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
A bag contains 10 red marbles and 8 blue marbles. If I select a marble 180 times, about how many should be blue?
P(event) x # of trials = 8/18 x 180
= 80
How likely is it that a coin is flipped and lands on tails?
as likely as not
A fruit bowl has 3 apples and 3 pears. What is the probability of choosing a pear, then another pear, with replacement?
P(pear then pear) = 3/6 x 3/6
= 9/36
= 1/4
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
A spinner has four equal sized sections labeled A, B, C, and D. If Joey spins the spinner 600 times, about how many times will he land on B?
P(B) x 600 = 1/4 x 600 = 150
How likely is it that a number cube is tossed and lands on 3?
not likely
You flip a coin and roll a dice, what is the probability of getting heads or rolling a 3?
P(heads or 3)= 1/2 + 1/6
= 3/6 + 1/6
= 4/6 = 2/3
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
Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw. How many times can she expect to get red?
P(red) x 300 = 3/5 x 300 = 180
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, with replacement?
P(pink then yellow) = 50/100 * 50/100
= 2500/10000
= 1/4
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
Chen has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has 4 classical songs, 3 rock songs, and 2 rap songs on it. Chen is going to listen to 360 songs.
How many of these can he expect to be classical songs?
P(classical) x 360 = 4/9 x 360
= 160
How likely is it that a number cube is tossed and lands on any number 1-6?
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%
Aaron flips a penny 100 times. HEADS comes up 58 times. Based on Aaron's experiment, what is the probability that TAILS turns up when a penny is flipped 100 times?
P(TAILS) = 42/100 = 21/50
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
Chen has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has 4 classical songs, 3 rock songs, and 2 rap songs on it. Chen is going to listen to 360 songs.
How many of these can he expect to be rap songs?
P(rap) x 360 = 2/9 x 360 = 80
How likely is it that a number cube lands on 2 and a coin lands on heads?
not likely
You are rolling a dice and selecting a card from a standard deck. What is the probability of rolling a 6 or selecting a King?
P(rolling a 6 or KING) = 1/6 + 4/52
= 19/78