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Yes, in poker, it is possible to have both a flush and a pair in a hand.
In poker, a hand that can beat a pair is a two pair, three of a kind, straight, flush, full house, four of a kind, straight flush, or royal flush.
In a poker game, a straight is more likely to win than a pair.
In poker, two pair is typically considered stronger than a straight.
The probability of being dealt a two pair or a straight in a standard 5-card poker hand is approximately 5.88.