Amy and Blake are each dealt two cards from a standard, 52-card deck. Amy's cards are known, Blake's cards are unknown. In which of these two scenarios is it MORE LIKELY that Blake has a pair:

Question

Amy and Blake are each dealt two cards from a standard, 52-card deck. Amy's cards are known, Blake's cards are unknown. In which of these two scenarios is it MORE LIKELY that Blake has a pair:
A) Amy: Queen Queen  Blake: face down, face down
B) Amy: Queen Five   Blake: face down, face down
??????

Akshat · Accepted Answer

B)Amy queen five and Blake face down face down because in option a there are 2 queen left in deck so probablity is 2/50 while in option B 3queens are left in deck so probablity is 3/50 and same about 5 so option B is more likely to happen.

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