Rolling a die#

Calculate the following probabilities and indicate which probability distribution model is appropriate in each case. You roll a fair die \({{ params.description.coin_toss }}\) times.

Part 1#

What is the probability of rolling the \(1^{st}\) \({{ params.part1.dice }}\) on the \({{ params.description.coin_toss }}^{th}\) roll?

Part 2#

What is the probability distribution?

Answer Section#

  • Geometric

  • Binomial

  • Negative binomial

  • Normal

  • Poisson

Part 3#

What is the probability of rolling exactly three \({{ params.part2.dice }}\)s?

Part 4#

What is the probability distribution?

Answer Section#

  • Geometric

  • Binomial

  • Negative binomial

  • Normal

  • Poisson

Part 5#

What is the probability of rolling the \(3^{rd}\) \({{ params.part3.dice }}\) on the \({{ params.description.coin_toss }}^{th}\) roll?

Part 6#

What is the probability distribution?

Answer Section#

  • Geometric

  • Binomial

  • Negative binomial

  • Normal

  • Poisson

Attribution#

Problem is from the OpenIntro Statistics textbook, licensed under the CC-BY 4.0 license.
Image representing the Creative Commons 4.0 BY license.