13. A committee of 12 is to be randomly selected from 15 science teachers and x math teachers. If the expected number of science teachers on the committee is 4.7, what is x?

List the sample space of each experiment. Tossing three coins

In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five numbers match the five numbers drawn (in any order), the player wins (or shares) the top prize. What is the probability of winning the top prize when the player buys one ticket?

Suppose the probability of incorrectly transmitting a single bit is . Compute the probability of correctly receiving a -word coded message made up of -bit words.