A coach may be dismissed. He is not shown a card. Take the case of Arsene Wenger who was sent of in the Arsenal Manchester United game.
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The probability of drawing two red cards with replacement is (1 in 2)2 or (1 in 4) or 0.25
Yes it is the rule , that the goalkeeper that got the red card should leave the pitch and another goalkeeper will take his place, but the coach must withdraw a player, in other words the team will play with 10 players only. Alternatively, the manager can decide to put one of the players already on the pitch in goal, though this rarely happens.
Red card- 1/2 CLUB-1/4
Since half of the cards (26 of the 52) are a red card (hearts and diamonds) the odds are 1 in 2 (or 50%) that any given card will be red.
The probability of drawing a red card is 1/2 (26/52).The probability of drawing a face card is 3/13 (12/52).The probability of drawing a red face card is 3/26 (6/52).The probability of drawing a red card or a face card is 8/13 (32/52).2 out of 52or 1 out of 26.