Practice Simulations

Simulation 1

What is the probability that a 4-child family will contain exactly two boys

and two girls?

Design and carryout a simulation to solve the problem.

Write down all 4 steps (TTRC).

Simulation 2

Coming to school each day, Anne rides through three traffic lights, A B, and C.

The probability that any one light is green is 0.3, and the probability that it is not green is 0.7.

(i) Estimate the probability that Anne will find all three traffic lights to be green.

(ii) Estimate the probability that Anne will find at least one light not to be green.

Design and carryout a simulation to solve the problems.

Write down all 4 steps (TTRC).

Simulation 3

A cereal manufacturer includes a gift coupon in each box of a certain brand.

These coupons can be exchanged for a gift when a complete set of six coupons has been collected.

What is the expected number of boxes of cereal you will have to buy before you obtain a complete set of six coupons?

Design and carryout a simulation to solve the problem.

Write down all 4 steps (TTRC).

Simulation 4

The diagram below describes the five aging pumping stations and the water-main system for a city. At any particular time, the probability of a pump failure at each pumping station is 0.5.

For water to flow from A to B, both pumps in at least one path must be working.

For example, if pumps 1 and 2 are working, water will flow.

If pumps 2 and 3 are working, water will flow.

If pumps 2 and 4 are not working, water will not flow.

Estimate the probability that water will flow from A to B at any particular time.

Design and carryout a simulation to solve the problem. Write down all 4 steps (TTRC).