Given that there are
150 red, 200 green, 70 purple, 35 red and green flowers, 20 red and purple flowers, 12 green and purple flowers, 6 red, green and purple flowers 30 without distinct colors.
1- Construct a Venn diagram representing this situation?
For the given data the venn diagram can be constructed by as follows :
Total coloured flowers = R+G+P = 420
And total flowers = R+G+P+No distinct coloured= 450
2- Determine the number of flowers who underwent the hybridization process?
The number of flowers who underwent the hybridization process are multiple colours and with no distinct colours
i.e.20+6+12+35+30= 103
3- We choose a flower randomly. Using the venn diagram, calculate the following probabilities:
a-) Probability to have flowers red and green but not purple?
P(Red, Green Not Purple)= (Red flowers+Green flowers- (redgreen-redpurple-purplegreen)/Total flowers
= 277/450
b-) The probability that the flower has , at least one of these three colors?
P(atleast one of 3 colours)= (Total coloured flowers)/Total flowers
= 42/45
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