For the following, work each by hand showing all steps. (4 points each)

If a dealer is dealing a card game where a player receives 5 cards from a standard 52-card deck, find the following probability. (6 points)

Probability of 3 Clubs and 2 Red cards?

Respuesta :

Answer:

0.0358

Step-by-step explanation:

In a 52 deck, 13 cards are Clubs, and 26 cards are red.

There are ₁₃C₃ ways to choose 3 Clubs from 13.

There are ₂₆C₂ ways to choose 2 red cards from 26.

There are ₅₂C₅ ways to choose 5 cards from 52.

P = (₁₃C₃ ₂₆C₂) / ₅₂C₅

P = (286 × 325) / 2598960

P = 0.0358