Activity 1A

B. Determine whether the events are dependent or independent, then find the probability. 1. A toy box contains 12 toys, 8 stuffed animals, and 3 board games. Maria randomly chooses 2 toys for the child she is babysitting to play with. What is the probability that she chose 2 stuffed animals as the first two choices?2. A basket contains 6 apples, 5 bananas, 4 oranges, and 5 guavas. Dominic randomly chooses one piece of fruit, eats it, and chooses another piece of fruit. What is the probability if he chose a banana and then an apple? 3. Nick has 4 black pens, 3 blue pens, and 2 red pens in his school bag. Nick randomly picks two pens out of his school bag. What is the probability that Nick chose two blue pens, if he replaced the first pen back in his pocket before choosing a second pen? 4. A card is drawn at random from a standard deck of cards. It is then placed in the deck after which a second card is drawn. What is the probability of drawing a 9 and a king?C. Answer the following questions. 1. What makes two events independent? 2. Differentiate a dependent event from an independent event. Reflect: a. What new realizations do you have about the probability of a dependent event? b. How would you connect this topic to other concepts that you have previously learned? c. How would you use these concepts in real life situation?1. A. recent survey showed that 313% of the residents in the community owned pet. If 3 residents were chosen at random, what is the probability that they all own pets? 2. The table below shows the inventory of shirts sold in an online selling company. Three shirts are ordered randomly, one at a time, without replacement. What is the probability that the buyer will receive all three are blue and medium? Small Medium Large Black 10 15 12 Blue 10 14 10 Red 13 16 112. Mr. Chua has two children. What is the probability that they are both boys? A. 1/2 C. 1/4 B. 1/3 D. 1 3. A coin is tossed at the same time with a die. What is the probability of getting a head and a 5? A. 1/3 C. 1/26 B. 1/12 D. 1/24 4. Two cards are drawn from a standard deck of cards. Find the probability that the first card is heart and the second is a red card? A. 1/26 C. 25/204 B. 1/52 D. 13/676Choose the letter of the best answer. Write the chosen letter on a separate sheet of paper. 1. What is the known probability when two events will both occur, such that the probabilities of the individual events are from its product? A. Independent Event (3. Individual Event E. Dependent Event D. Intersection of Event 2. Mr. |Chua has two children. What is the probability that they are both girls? A. if? C. 11.34 s. 1,;3 o. 1 3. A coin is tossed at the same time with a die. What is the probability of getting a tailanda? A. 1f3 (3. 1,526 B. \"12 D. 1f24 4. Two cards are drawn from a standard deck of cards. What is the probability that the rst card is a club and the second is a red card? A. \"'26 c. 1f14 s. 1352 o. \"are 5. A married couple agreed to continue bearing a new child until they get two boys;1 but not more than 4 children. ssuming that each time that a child is born, the probability that it is a boy is [15, independent from all other times. What is the probability that the couple has at least two girls? A. if? C. 5} 18 E. Sfl D. 4f15