Give odds each of the following Find the odds is tavor of Pi

Give odds each of the following Find the odds is tavor of Picking afruitfavored bean. Give the anoretical probabiity the folkwing events 00 La 5 Circle ALL if any applicable terms for the events described. Picking fed bean eaing it, then picking apeinar colocad bean. Picking a frit flavored or primary colorod bean (14 Peking am Peen or frait bean Problem Na her

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

e) Picking a red bean and then a primary colured bean is a dependent event as

choosing a primary colured bean is depends upon picking a red bean as both event have red bean common

So, if fist a red bean is picked then remaining red bean would be less and that would effect of outcome of primary coloured

bean