Question:

Construct the sample space for a probability experiment

Last updated: 7/29/2022

Construct the sample space for a probability experiment

Construct the sample space for a probability experiment where a coin is flipped, and then a 10-sided die is rolled. (H1, H2, H3, H4, H5, H6, H7, H8, H9, H10, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10) This setup was used for a carnival game, and different amounts paid out for certain outcomes. Find the probability of each outcome: (a) There was a head on the coin and an odd number on the die. (b) There was a head on the coin and a prime number on the die. (c) There was a head on the coin and a number less than on the die. Write your answers in exact, simplified form.