Concept explainers
The probability of being dealt 5 clubs.
Answer to Problem 1RE
The probability of being dealt 5 clubs is approximately 0.0005.
Explanation of Solution
Given:
An experiment consists a standard 52 card deck.
Formula used:
The formula for number of combinations of n distinct objects taken r at a time is,
Probability:
If we assume that each simple event in
Calculation:
A standard deck of 52 cards has four 13-card suits: diamonds, hearts, clubs, and spades.
The diamonds and hearts are red, and the clubs and spades are black. Each 13-card suit contains cards numbered from 2 to 10, a jack, a queen, a king, and an ace.
The jack, queen, and king are called face cards.
Let A denote the set of a single deal of 5 club cards, and S denote the set of five cards.
From the 52 cards selecting five cards can be done in
The probability of being dealt 5 clubs is,
Further simplified as,
Thus, the probability of being dealt 5 clubs is approximately 0.0005.
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