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DETERMINE IF AN EVENT IS INDEPENDENT OR DEPENDENT * There are 3 red skittles left in a bag with a total of 20 skittles left in it. The probability that you will get a red one when you reach in is: 3/20. (Click to make the man eat the candy) But what are your chances of getting a red one if you reach in again? There are now 19 candies in the bag, and only two are red. The probability is 2/19. Sometimes one event can affect the outcome of another event. Taking the first candy affected the outcome of the next attempt. The two events are dependent. * The two events do not affect each other. They are independent Now you know that the probability of heads landing up when you flip a coin is 1/2. What is the probability of getting tails if you flip it again? It is still 1/2. Flipping heads on one flip and tails on another have nothing to do with each other. They do not affect each other at all! Dependent I completely DEPEND on you! I am INDEPENDENT! What I do affects nothing and nothing affects me! Independent? Example- There are 6 beads in a bag, 3 are red, 2 are yellow and 1 is blue. What is the probability of picking a yellow and without replacing it, next choosing a red?? On your paper, name as independent or dependent and then determine the probability. Remember first outcome multiplied by second outcome. * Dependent Example- You throw 2 dice. What is the probability that both are 6's? On your paper, name as independent or dependent and then determine the probability. Remember first outcome multiplied by second outcome. * * There is a one in six chance of rolling a six on dice A and a 1 in six chance of rolling a 6 in dice B. F D 1/36 .027 P 2.7 % * 1/6 x 1/6 = 1/36 * 6.16 Probability PPT Practice Name Date (Simplify the fractions) I or D 1. 2. 3. 4. 5. * F D P F D P F D P F D P F D P * The game show contestant spins a spinner with the letters M, O, N, E, and Y. What is the probability that the spinner will stop on the letter N on the first spin and an O the second spin? * The names of 6 boys and 9 girls from your class are put into a hat. What is the probability that the first two names chosen (without putting the first name back in the hat) will both be boys? * A box contains 2 green marbles, 3 blue marbles and 1 silver marble, 2 yellow marbles, and 2 pink marbles. Without looking, what is the probability that the first two picked will both be blue? * You are about to attack a dragon in a role playing game. You will throw two dice, one numbered 1 to 6 and the other with the letters A through F. What is the probability that you will roll the values 3 and E? * There are 3 black cats and 2 gray cats in a cage, and none of them want to be in there. The cage door opens briefly and two cats escape. What is the probability that both escaped cats are black?