Question
a) Please define mutually exclusive event? b) Determine if the following events are mutually exclusive i) Roll a dice: Get an even number, and get
a) Please define mutually exclusive event?
b) Determine if the following events are mutually exclusive
i) Roll a dice: Get an even number, and get a number less than 3
ii) Roll a dice: Get a prime number (2,3,5), and get an odd number
iii) Select a student in the class. The student has blond hair, and the student has blue eyes
iv) Roll a dice. Get a number greater than 3, and get a number less than 3
c) In a deck of 52 cards, we have the following events:
A = event that the card selected is a Diamond
B = event that the card selected is a face card
C = event that the card selected is an ace
D = event that the card selected is a 5
E = event that the card selected is an 8 or a King
Which of the following events are mutually exclusive? State and explain your answers for each option below.
a. (A & B)
b. (A & C)
c. (B & C)
d. (B, C & D)
e. (B, C, D & E)
d) According to the Population census, 51.6% of the US adults are females, 10.4% of the US adults are divorced, and 6.0% of the US adults are divorced females.
For a US adult selected at random, let F = event the person is a female, and D = event the person is divorced
i) Obtain P(F), P(D), and P(F &D)
ii) Determine P(F or D)
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