# Date with a Psychic

**Discrete Mathematics**Level 4

Peter was taking Carrie, an amateur psychic, to play "Love Matching" game during their date. In this game, the couple would try to find the pair of hearts out of all cards, where the girlfriend first chose one from the red cards and then the boyfriend the blue ones.

With her psychic power, the probability of Carrie's choosing the heart card was twice of Peter's chance and was \(\dfrac{5}{6}\) times the chance of at least one of them picking the heart cards.

What would be the positive probability (in percentage) of Peter's picking the heart card given that Carrie's already getting the heart card?

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