Problem: Number cards 1 through 30 are shuffled and place on the table face down. One card is chosen at random. What is the probability that the number chosen will be E) a multiple of 3 or 4? Solution: L) a multiple of 3 and 4? Solution: O) an even or odd number?

d) Suppose we want to pick two numbers from {1,2, ..,100} randomly. What is the probability that the sum of the two picked numbers is divisible by 5.

A technology store holds a contest to attract shoppers. works: An ace and four other cards are shuffled and placed face down on a table. The customer gets to turn over cards one at a time, looking for the ace. The person wins $100 of store credit if the ace is the first card, $50 if it is the second card, and $20, $10, or $5 if it is the third, fourth, or last card chosen. What is the average dollar amount of store credit given away in the contest? Estimate with a simulation of 10 trials. Once an hour, someone at checkout is chosen at random to play in the contest Here's how it 67819 00354 91439 91073 49258 15992 41277 75111 67496 68430 09875 08990 27656 15871 23637 00952 97818 64234 50199 05715

Solve the problem. You are dealt one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled, and you draw again. Find the probability of getting a picture card the first time and a club the second time. Express the probability as a simplified fraction. A) B) D)를