A child has a bag containing $10$ sweets of which $4$ are red and $6$ are green. When the child want

Question

A child has a bag containing $10$ sweets of which $4$ are red and $6$ are green. When the child wants to consume one of the sweets, a random selection is made from the bag and the chosen sweet is then consumed before the next random selection is made. The child decides to consume four sweets. Calculate the probability that all the sweets consumed are green, [1] at least one sweet of each colour is consumed, [2] at least two green sweets are consumed, [2] at least two green sweets are consumed, given that at least one sweet of each colour is consumed. [3]

Accepted Answer

(i) $\frac1{14}$; (ii) $\frac{97}{105}$; (iii) $\frac{37}{42}$; (iv) $\frac{85}{97}$

NYJC Lecture Test Q3

NYJC Lecture Test Q3

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