Jason has a cube with colored sides: red, orange, yellow, green, blue, and purpl

Question

Jason has a cube with colored sides: red, orange, yellow, green, blue, and purple. Give the odds for each of the following events. Find the odds in favor of rolling a primary color. Find the odds against rolling blue or purple. Give the theoretical probability of each of the following events. Rolling a primary color. Not rolling a purple. Circle ALL (if any) applicable terms for the events described. Rolling red or a primary color. overlapping event compound event mutually exclusive event permutation Rolling orange or a primary color overlapping event compound event mutually exclusive event permutation Rolling the cube twice, Jason rolls yellow and then green. overlapping event dependent independent permutation

Explanation / Answer

8) number of favourable outcomes ( getting primary colour ) = 3

number of unfavourable outcomes = 6-3 = 3

odds in favour of rolling a primary colour is 3/3 = 1

9) odds against rolling blue or purple

total outcomes = 6

number of favourable outcomes = 2

number of unfavourable outcomes = 6 - 2 = 4

so, odd against rolling a blue or purple = 4/2 = 2

10) rolling a primary colour

total events = 6

total events of getting primary colour = 3

hence, probability of rolling a primary colour = 3/6 = 1/2

11) not rolling a purple = 1 - rolling purple

= 1 - 1/6

= 5/6

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