All Common Core: 7th Grade Math Resources
Example Questions
Example Question #181 : Statistics & Probability
What is the probability of flipping a coin three times, with the coin landing on heads all three times, and rolling a number on a die other than
There are two sides to a coin: heads and tails. The probability of the coin landing on heads is
To determine the probability of the coin landing on heads three times in a row, we take the probability of the coin landing on heads and multiply it three times.
Based on the question, we want to combine the probability of flipping a coin three times, with the coin landing on heads all three times, with the probability of rolling any number on a die except . There are sides to a die, and five sides that aren't the number ; thus, the probability of rolling any number on a die except is
We want the probability of all of these events occurring, so we need to multiply:
Example Question #182 : Statistics & Probability
A student flips a coin four times and rolls a six-sided die. What is the probability that the coin will land on heads all four times and the die will show a ?
There are two sides to a coin: heads and tails. The probability of the coin landing on heads is
To determine the probability of the coin landing on heads four times in a row, we take the probability of the coin landing on heads and multiply it four times.
Based on the question, we want to combine the probability of flipping a coin four times, with the coin landing on heads all four times, with the probability of rolling a on a die. There are sides to a die, and only one of those sides has the number ; thus, the probability of rolling a on a die is
We want the probability of all of these events occurring, so we need to multiply:
Example Question #1 : Finding Theoretical Probability
Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the theoretical probability of the spinner landing on the orange section?
The theoretical probability is what should happen. In this case, we have spaces and of those spaces is orange; thus, the theoretical probability of the spinner landing on orange should always be or
Example Question #2 : Finding Theoretical Probability
Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the theoretical probability of the spinner landing on the yellow section?
The theoretical probability is what should happen. In this case, we have spaces and of those spaces is yellow; thus, the theoretical probability of the spinner landing on yellow should always be or
Example Question #3 : Finding Theoretical Probability
Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the theoretical probability of the spinner landing on the green section?
The theoretical probability is what should happen. In this case, we have spaces and of those spaces is green; thus, the theoretical probability of the spinner landing on green should always be
Example Question #183 : Statistics & Probability
Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. Is the experimental probability of landing on pink more likely, less likely, or equally likely in comparison to the theoretical probability?
Results can't be found based on the data provided
Equally likely
More likely
Less likely
More likely
The theoretical probability is what should happen. In this case, we have spaces and of those spaces is pink; thus, the theoretical probability of the spinner landing on pink should always be
The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner times, and she landed on pink times; thus, our experimental probability is
In order to compare the theoretical probability and the experimental probability let's convert the fractions into decimals so we can put them on a number line:
A probability closer to means that an event is more likely to occur. In this case, is closer to ; thus, the experimental probability is more likely than the theoretical probability.
Example Question #1 : Develop A Uniform Probability Model By Observing Frequencies In Data Generated From A Chance Process: Ccss.Math.Content.7.Sp.C.7b
Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. Is the experimental probability of landing on orange more likely, less likely, or equally likely in comparison to the theoretical probability?
Less likely
Equally likely
More likely
Results can't be found based on the data provided
More likely
The theoretical probability is what should happen. In this case, we have spaces and of those spaces is orange; thus, the theoretical probability of the spinner landing on orange should always be or
The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner times, and she landed on orange times; thus, our experimental probability is
In order to compare the theoretical probability and the experimental probability let's convert the fractions into decimals so we can put them on a number line:
A probability closer to means that an event is more likely to occur. In this case, is closer to ; thus, the experimental probability is more likely than the theoretical probability.
Example Question #5 : Finding Theoretical Probability
Kelly spun a spinner, which is pictured below, times. The spinner had six equally-sized sections, each of a different color, and she recorded her results in the table provided. What is the theoretical probability of the spinner landing on the pink section?
The theoretical probability is what should happen. In this case, we have spaces and of those spaces is pink; thus, the theoretical probability of the spinner landing on pink should always be
Example Question #4 : Develop A Uniform Probability Model By Observing Frequencies In Data Generated From A Chance Process: Ccss.Math.Content.7.Sp.C.7b
Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the experimental probability of the spinner landing on the pink section?
The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner times, and she landed on pink times; thus, our experimental probability is
Example Question #4 : Develop A Uniform Probability Model By Observing Frequencies In Data Generated From A Chance Process: Ccss.Math.Content.7.Sp.C.7b
Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the experimental probability of the spinner landing on the orange section?
The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner times, and she landed on orange times; thus, our experimental probability is