Question

*6 sided die*
*Bag with 2 red marbles, 2 yellow, 2 green, 1 blue, and 1 purple*

A die is rolled and marble is selected from the bag shown. Find each probability.
HINT: These events are independent.

a) P(even number and yellow) = ___
1. 1/8
2. 5/14
3. 1/14
4. 1/16

b) P(odd number and not green) = ___
1. 5/14
2. 3/8
3. 1/8
4. 9/14

c) P(1 and red) = ___

d) P(3 and purple) = ___

PLEASE HELP!!

Answer 1

Answer:

Step-by-step explanation:

P(even + yellow)

P(even) = 3/6 (2 , 4,  6)

P(yellow) = 2/8

P(both) = 3/6 * 2/8

P(both) = 1/2 * 1/4

P(both) = 1/8

Odd number = 3/6

Not green = 6/8

P(Both) = 1/2 * 3/4 = 3/8

P{1 and red )

P(1) = 1/6

P(red) = 2/8

P(Both) = 1/6 * 1/4 = 1/24

P(3) = 1/6

P(Purple) = 1/8

P(both) = 1/6 * 1/8 = 1/48