2: Example sampler. Mathway: Math Problem Solver. Polynomial roots finder. Models: Lottery. Background Most people have a poor understanding of probability. One major difficulty is in appreciating how unlikely simple events become when several independent outcomes must all line up.
This is one reason that lotteries are popular: people overestimate their chances of winning. Most state lotteries use 6 numbers. The probability of matching all 6 is 0.02 × 0.02 × 0.02 × 0.02 × 0.02 × 0.02 or 0.000000000064. This number is so small that it is difficult for people to grasp how unlikely it is. Many lotteries do not allow repeated numbers. In the demonstration below, the average state lottery is simulated to show exactly how unlikely it is that you will match all 6 numbers. It also shows you what would happen if you put the $1 away each week in an investment that earned you 5% compounded daily.
Instructions Click once on this button and a new window will appear. It you match 6 out of 6, you win $1,000,000 (virtual, not real, dollars). To begin, click once on "Play. " Learning by Simulations: Overview. SpeQ Mathematics. Online Math Calculators and Solvers. Calculus Problem Solver. Welcome to CalcEnstein - The Ultimate Web Based Calculator. Quincunx. Factor Clock.