Probability of Compound Events

Master compound probability! Solve independent & dependent event problems.

Decide if each set of events is "independent" or "dependent". Choose the correct column. Independent Events What is the probability of flipping heads on a coin and then flipping tails? You have a bag of 10 marbles. Four are red and 6 are blue. What is the probability of drawing a red marble, putting it back in the bag, and then drawing another red marble? Dependent Events You have a bag of 10 marbles. Four are red and six are blue. What is the probability of drawing a red marble, putting it aside, and then drawing another red marble? Each letter in the word MATHEMATICS is written on a card and put into a bag. What is the probability of drawing an A, putting it aside, and then drawing the H? Solve each problem, then match it to it's answer. All answers are written as fractions in simplest form. Two coins are flipped. What is the probability they both display tails? 1 You have a bag of 10 marbles. Four are red and six are blue. What is the probability of drawing a red marble, putting it aside, and then drawing another red marble? 2 What is the probability of rolling a 3 on a fair six-sided number cube, labeled 1-6, and then flipping heads on a coin? 1 You have a bag of 10 marbles. Four are red and 6 are blue. What is the probability of drawing a red marble, putting it back in the bag, and then drawing another red marble? 4 Beth spins the spinner below and gets purple. Spinning the spinner a second time is — a dependent event because the outcome of the second spin depends on the outcome of the first spin. a dependent event because the outcome of the second spin does not depend on the outcome of the first spin. an independent event because the outcome of the second spin depends on the outcome of the first spin. an independent event because the outcome of the second spin does not depend on the outcome of the first spin. Two spinners are divided equally as shown.The arrow of each spinner is spun once. What is the probability that the arrows will land on a section labeled "1" and a section labeled "G"? 5 3 5 1 Geena has a bag of chocolate MMs. The circle graph below shows the probability of picking different colored MMs out of the bag. What is the probability of picking a red MM, replacing it, and then picking a blue MM?Hint: Convert percents to decimals to multiply. Then convert back at the end. 35% 25% 2.5% 1% Lawrence has these tiles that are the same size and shape.6 blue tiles9 green tiles10 orange tilesWhat is the probability that Lawrence will randomly select an orange tile, not replace it, then randomly select a blue tile? Type your answer as a fraction in simplest form. 1 12 1 2 Marcus has 2 blue pens, 3 red pens, and 1 green pen in his backpack. He will pick a pen, give it to a friend, and pick another pen. Fill in the blank: Marcus has a 0 % probability of picking 2 green pens. There is a 60% chance it will snow on Monday. There is a 20% chance it will snow on Tuesday. Fill in the blank: There is a 32 % chance it will NOT snow on both days. The following cards are used in a game.If Ahn selects a card at random, what is the probability that she selects a card with a tree on it, replaces it, and then selects a card with a dog on it? 3 3 4 2 The table below shows the number of boys and girls in the 6th grade glass. There are 80 students total. Two students will randomly be chosen to go on a field trip. What is the probability that the first person chosen will be a female 8 and under and the second person chose will be a male 12+?*Remember, once a student is chosen for a field trip, they cannot be picked again. 3 3 17 13 Eric and Sue will randomly select from a treat bag containing 6 lollipops and 4 gumballs.Eric will select a treat, replace it, and then select a second treat.Sue will select a treat, not replace it and then select a second treat.Who has the greater probability of selecting one 1 lollipop then 1 gumball? Eric because is larger than . Sue because is larger than . Eric because is larger than. Sue because is larger than.