Spin is spun, and a die is rolled. Find each probability.?

Question

The spun have 8 colors: navyblue, red, green, yellow, purple, white, orange, and pink. "The spinner is landed on pink"

Find each probability:

1. P(yellow, 4)

2. P(red, even)

3. P(purple or white, not prime)

4. P(green even or less than 5)

please help thanx

Answer 1

Colors

The probability of any one color appearing is 1 / (total number of colors). Hence for  (#1, #2, #4) the color answer is 1 / 8.  The probability of either of two colors appearing (#3) is 2 / 8 = 1 / 4

Die

The probability of any one number appearing is 1 /( total number of sides on the die).  Hence The probability of any one number appearing (#1) is 1 / 6

The problem of an even number appearing (#2)  (#evens / #sides of die)  =    3 / 6 = 1 / 2

1,2,3,5 are prime (they cannot be factored)   4=2*2 and 6=2*3 are not prime (they can be factored)  Hence, in #3,  4 / 6 = 2 / 3

For #4 , there are 5 numbers <= 5,  hence 5 / 6

(1)     (1 / 8) * (1 / 6) = whip out your calculator for decimal answer.

(2)     (1 / 8) * (1 / 2)                                 "

(3)     (1 / 4) * (2 / 3)                                 "

(4)     (1 / 8) * (5 / 6)                                 "