Math 30-2

Unit 4: Probability

Lesson 4: Independent-Dependent Events

I need solutions for these questions please. their will be a answer key after the questions below that my teacher gave it to me. thank you

10. A standard die is rolled.

a) State the outcomes associated with the following events.

i) an odd number is rolled ii) an even number is rolled iii) a prime number is rolled

b) Determine:

i) P(an odd number is rolled | a prime number is rolled)

ii) P(a prime number is rolled | an odd number is rolled)

iii) P(a prime number is rolled | an even number is rolled)

iv) P(an even number is rolled | a prime number is rolled)

v) P(an odd number is rolled | an even number is rolled)

11. A month is selected at random from the months of the year.

Let J = {month begins with the letter J} and Y = {month ends with the letter Y}

Determine the following:

a) P(J) b) P(Y) c) P(J|Y) d) P( Y|J)

e) P (Y'|J) f) P (Y | J ') g) P (Y '| J') h) P ( J' | Y')

12. A spinner has 4 equal sections coloured red, blue, yellow and green. To the nearest

hundedth, determine the probability of the spinner not landing on yellow in both of two

consecutive spins.

ANSWER KEY

10. a) i) 1, 3, 5, ii) 2, 4, 6, iii) 2, 3, 5,

b) i) 2/3, ii) 2/3, iii) 1/3, iv) 1/3, v) 0

11. a) 1/4, b) 1/3, c) 1/2, d) 2/3, e) 1/3, f) 2/9, g) 7/9, h) 7/8

12. 0.56