5 mangoes are placed in a fruit container in Mrs Jeremiah’s home. In the fruit container, 3 are green, one is red and the last is yellow.
a) What is the probability that 3 are pulled one after the order without replacement and they are in order of green mango, not a green mango, green mango?
b) A mango is pulled, and it is either a red mango or a yellow mango
c) Two mangoes are pulled one after the other without replacement and none of them is a green mango
d) What is the probability that 3 are pulled one after the order replacement and they are in order of green mango, not a green mango, green mango?
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Answer:
a)
Order - Green, Red/Yellow, Green
=> Prob (green mango, not a green mango, green mango) = 3C1*2C1*2C1/ 5*4*3 = 0.2
b)
Prob (red mango or a yellow mango) = 2C1/5C1 = 0.4
c)
Prob (no green) = 2C1*1C1/5*4 = 0.1
d)
Prob(green mango, not a green mango, green mango) = 3C1*2C1*3C1/5*5*5 = 0.144
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