A bag contains $3$ red and $4$ blue counters. Three counters are drawn at random without replace

Question

A bag contains $3$ red and $4$ blue counters. Three counters are drawn at random without replacement. Find the probability that the first red counter appears on the third draw.[2] Find the probability that at least one red counter is drawn.[2]

Accepted Answer

(a) $\dfrac6{35}$ (b) $\dfrac{31}{35}$

A first occurrence in three draws

A first occurrence in three draws

Solution:

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