Set of cards has a total of 36 cards: 9 numbered cards (1-9) of each color: red, blue, green and yellow. If a card is selected at random, what is the probability that the card is red? If a card is selected at random, what is the probability that it is red, given that the number of the card is 4? Are the events E="the card selected is red" and F="the card selected is a 4" independent? Why?

A poker player holds a flush when all five cards in the hand belong to the same suit (clubs, diamonds, hearts, or spades). We will find the probability of a flush when five cards are drawn in succession from the top of the deck. Remember that a deck contains 52 cards, 13 of each suit, and that when the deck is well shuffled, each card drawn is equally likely to be any of those that remain in the deck.     The probability of drawing five spades in succession from the top of the deck is the product of the five probabilities you have found. Why? The probability of a flush in spades is the product of the probabilities due to the general multiplication rule which applies for determining the probability of dependent events occurring simultaneously. the multiplication rule for independent events which applies for determining the probability of at least one or more dependent events occurring. the general multiplication rule which applies for determining the…

Assume that there are 16 frozen dinners: 9 pasta, 3 chicken, and 4 seafood dinners. The student selects 5 of them. What is the probability that at least 2 of the dinners selected are pasta dinners?

A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A​ balls, 5 type B​ balls, and 6 type C​ balls, find the probability that the golf ball is not a type A ball.