A. Determine if the scenario involves mutually exclusive events or not mutually exclusive events.

1. A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, it lands in region three or six.

2. A bag contains six yellow jerseys numbered one to six. The bag also contains four purple jerseys numbered one to four. You randomly pick a jersey. It is purple or has a number greater than five.

3. A magazine contains twelve pages. You open to a random page. The page number is eight or ten.

4. A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. It is a milk chocolate or has no peanuts inside.

5. In a deck of cards, you randomly pick a card, a diamond or an ace.

B. Find the probability in each of the following scenarios.

A bowl contains 15 chips numbered 1 to 15. If a chip is drawin randomly from the bowl, what is the probability that it is:

1. numbered 7?

2. a number divisible by 3 or divisible by 4?

In a standard deck of cards, what is the probability that a randomly drawn card is

3. a heart or a diamond?

4. a diamond or a King?

5. a black card or a Queen?

6. A magazine contains fourteen pages. You open to a random page. Find the probability that the opened page number is three or seven.

7. A basket contains three apples, three peaches, and four pears. Find the probability that the randomly selected piece of fruit is an apple or a peach.

8. In a certain class of 50, 18 are Mobile Legends player, 21 are Tiktok enthusiasts, 15 are Mobile Legend player and are also Tiktok enthusiasts. Find the probability that a randomly chosen student plays Mobile Legend and is a Tiktok enthusiast?

9. A box contains three red playing cards numbered one to three. The box also contains five black playing cards numbered one to five. Find the probability that the randomly picked playing card is black or has an odd number.

10. During the Distance Learning Modality of DepEd, a Math teacher has 250 students. Among those students, 150 preferred to submit their outputs online, 110 preferred to submit the actual output in school, while 45 submitted the outputs both online and in school. Find the probability that a randomly selected student submits his/her student online or in school.