Quiz about Solving Mutually Exclusive Events

Question 1

Determine whether the events are mutually exclusive or not mutually exclusive event.

A bowl contains 15 chips numbered 1 to 15. If a chip is drawn randomly from the bowl, what is the probability that it is 9 or 12?

Accepted Answer

Mutually Exclusive EVents

Answer

Non-Mutually Exclusive Events

Question 2

Find the Probability:

A bowl contains 15 chips numbered 1 to 15. If a chip is drawn randomly from the bowl, what is the probability that it is 9 or 12?

Accepted Answer

$$\frac{2}{15}$$

Answer

$$\frac{1}{15}$$

Answer

Answer

Question 3

Determine whether the events are mutually exclusive or not mutually exclusive event.

A bowl contains 15 chips numbered 1 to 15. If a chip is drawn randomly from the bowl, what is the probability that it is even or divisible by 7?

Accepted Answer

Non-Mutually Exclusive Events

Answer

Mutually Exclusive EVents

Question 4

Find the probability:

A bowl contains 15 chips numbered 1 to 15. If a chip is drawn randomly from the bowl, what is the probability that it is even or divisible by 7?

Accepted Answer

$$\frac{8}{15}$$

Answer

$$\frac{7}{15}$$

Answer

$$\frac{6}{15}$$

Answer

$$\frac{5}{15}$$

Question 5

Determine whether the events are mutually exclusive or not mutually exclusive event.

Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario randomly selects a red chip or a white chip?

Accepted Answer

Non-Mutually Exclusive Events

Answer

Mutually Exclusive EVents

Question 6

Find the probability:

Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario randomly selects a red chip or a white chip?

Accepted Answer

$$\frac{23}{27}$$

Answer

$$\frac{69}{81}$$

Answer

$$\frac{21}{27}$$

Answer

$$\frac{7}{9}$$

Question 7

Despite the cultural differences, indigenous people around the world share common problems related to protection of their rights. Here in the Philippines - a culturally diverse country with an estimated 16 million Indigenous Peoples (IPs) belonging to 110 ethno-linguistic groups. IPs in Northern Luzon -Cordillera Administrative Region, 5,280,000; In Mindanao 9,760,000, and with some groups in the Visayas area. If we look at the record of IPs in the Philippines, what is the probability that a random in Visayas or Mindanao report?

a. P(Visayas or Mindanao)

Accepted Answer

$$\frac{67}{100}$$

Answer

$$\frac{10,720,000}{16,000,000}$$

Answer

$$\frac{10,720}{16,000}$$

Answer

$$\frac{1,072}{1,600}$$

Question 8

At the start of the flu season, a doctor examines 50 patients over two days. 30 have a headache, 24 have a cold, and 8 patients have both symptoms.

What is the probability that a random patient has both symptoms?

Accepted Answer

$$\frac{23}{25}$$

Answer

$$\frac{46}{50}$$

Answer

$$\frac{43}{50}$$

Answer

$$\frac{21}{25}$$

Solving Mutually Exclusive Events

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