1) Annika was having fun playing poker. She needed the next two cards dealt to be diamonds so she could make a flush (five cards of the same suit).There are 15 cards left in the deck, and five are diamonds.

What is the probability that the two cards dealt to Annika (without replacement) will both be diamonds? Answer choices are in percentage format, rounded to the nearest whole number.

2) Eric is randomly drawing cards from a deck of 52. He first draws a red card, places it back in the deck, shuffles the deck, and then draws another card.

What is the probability of drawing a red card, placing it back in the deck, and drawing another red card?Answer choices are in the form of a percentage, rounded to the nearest whole number.

3) John makes random guesses on his multiple-choice test, which has five options for each question. Let the random variableXbe the number of guesses taken beforeguessingcorrectly.

Assuming theguesses are independent, find the probability that he doesn't guess correctly until his 6thguess.