Give the odds for the following events Find the odds is favo

Give the odds for the following events? Find the odds is favor of picking a cinnamon or mint beam. Give the theoretical probability of each of the following events. Picking a fruit flavored beam. Not picking a cinnamon bean. Picking a red bean, and then picking a primary Picking a fruit - flavored or primary colored beam. Overlapping event dependent independent permutation picking a fruit flavored or primary colored beam. Overlapping event mutually exclusive event compound event dependent Picking a red or green of fruit flavored bean. dependent compound event mutually exclusive event overlapping event

Solution

cinnamon faloured = 20

lemon flavoured = 25

mint flav = 15

grape flavoured = 30

pineaple flavoured = 10

a) odds in favour of fruit flavoured bean =favourable outcome / no. of unfavourable outcome

= (30+10+25)/(100 - 30 -10 -25) = 65/35 = 13/7

b) odds againts picking a cinnamon or mint = no. of unfavourable outcome/favourable outcome

= (100 - 20 -15)/(20+15)

= 65/35 = 13/7

c) Probability of fruit flavoured = 65/100 = 0.65

d) Not picking a cinnamon bean = 1 - (picking a cinnamon bean)

= 1 - 20/100 = 80/100 = 0.8