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Simulation and Randomness
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10 problems
Type:
Any
Conceptual
1.
A thermometer always reads 0.5 degrees too high.
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
StemPy Lab
Hard
2.
A single measurement of a length has a random error with the spread 0.5 mm.
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
StemPy Lab
Medium
3.
A sample has 400 atoms, and each decays with the probability 0.05 per second.
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
StemPy Lab
Hard
4.
Each atom of a sample decays with the probability 0.02 in each second.
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
StemPy Lab
Medium
5.
A particle makes a step of 2 mm to the left or to the right every 0.1 s.
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
StemPy Lab
Hard
6.
A walker takes 10 steps, each one to the left or one to the right with the same chance.
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
StemPy Lab
Medium
7.
Estimate π by throwing random points at a unit square, with 1000 points and with 100 000 points.
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
StemPy Lab
Medium
8.
Three dice are rolled. What is the probability that the sum is 15 or more?
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
StemPy Lab
Medium
9.
A die was rolled 600 times, and the six came up 117 times.
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
StemPy Lab
Medium
10.
A student runs a simulation twice, and gets different answers.
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
StemPy Lab
Easy