Sunday Times Teaser 3057 – Cut for Partners
by Danny Roth
Published Sunday April 25 2021 (link)
George and Martha are playing bridge with an invited married couple. Before play starts, the players have to cut for partners. Each player draws a card from a standard pack and those drawing the two highest-ranking cards play together against the other two. For this purpose, the rank order is ♠ A, ♥ A, ♦ A, ♣ A, ♠ K, ♥ K etc. down to ♦ 3, ♣ 3, ♠ 2, ♥ 2, ♦ 2, ♣ 2 (the lowest).
George drew the first card, then Martha drew a lower-ranking card. “That is interesting!” commented the male visitor to his wife. “The probability that we shall play together is now P. Had Martha drawn the ♥ 7 instead of her actual card, that chance would have been reduced to P/2, and had she drawn the ♥ 6, the chance would have been reduced to P/3.
Which cards did George and Martha draw?