Theoretical
What is the probability of landing on heads when flipping a coin?
1/2
You flip a coin 10 times, it lands on heads 6 times and tails 4 times. What is the experimental probability that it lands on tails?
4/10 or 2/5
Is it impossible, unlikely, likely, or certain?
You roll a six sided dice and it lands on a 3?
Unlikely
Mr. Shafer gives a jeopardy assignment that must have 25 problems. If I were to do 20 of the 25 problems, what would my grade (as a percent) be?
80%
1+1
2
what is the probability of landing on a 5 on a 6 sided die
1/6
Does using a dry sponge or a wet sponge remove more dust from a tabletop?
A wet sponge will collect more dust than a dry sponge.
A bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of picking a yellow marble?
Impossible
A coin is thrown 3 times . what is the probability that atleast one head is obtained?
1/3
20+45
65
How can a group of interconnected individuals maximize their collective utility within a complex social network?
The problem can be framed using concepts from game theory and network analysis. A theoretical solution might involve modeling the network as a graph, defining individual utility functions, and then applying game-theoretic principles like Nash equilibrium to find a stable state where no individual can improve their own utility by unilaterally changing their behavior. This could involve analyzing different social structures, payoff structures, and communication strategies to identify the most effective configurations for maximizing collective utility.
Design an experiment to determine if using a specific type of fertilizer (e.g., organic) leads to greater growth (measured by height and yield) in tomato plants compared to a control group receiving no fertilizer.
Using organic fertilizer will lead to greater tomato plant height and yield compared to a control group with no fertilizer.
A coin is flipped. What is the probability of getting heads?
Likely
Find the probability of getting a numbered card when a card is drawn from the pack of 52 cards.
36/52
5x10
50
The theoretical probability of rolling a number greater than 9 on a 12-sided die is
1/4
Calculating the experimental probability of a hard to find red car in a parking lot.
The experimental probability of finding a red car is 8%
A day of the week is randomly selected. What is the probability that it will be a weekend day
Likely
The probability of getting a full house in a 5-card poker hand
11/694
12x11
132
If you could instantaneously teleport yourself and all your possessions to Mars, what practical problems would you face, and how would you address them?
a thin, oxygen-poor atmosphere, extreme cold, radiation, and potential for dust storms.
How does the amount of water affect the growth of bean seedlings?
Seedlings that are given a moderate amount of water will likely grow the fastest and healthiest. Seedlings that are overwatered or underwatered may experience stunted growth or even die.
You have a bag with 4 red marbles and 1 blue marble.
impossible
A box contains 10 red balls, 15 blue balls, and 25 green balls. Three balls are drawn from the box without replacement. What is the probability that all three balls are the same color?
Therefore, the probability that all three balls are the same color is approximately 0.4698 or 46.98%.
what is m+7=10
m=3