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Find the probability of getting a black card and 3?

Find The Probability Of Getting A Black Card And 3 class=

Sagot :

SOLUTION:

Case: Probability (Deck of cards)

A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠). Each suit includes three court cards (face cards), King, Queen and Jack, with reversible (double-headed) images. Each suit also includes ten numeral cards or pip cards, from one to ten. The card with one pip is known as an Ace. Each pip card displays the number of pips (symbols of the suit) corresponding to its number, as well as the appropriate numeral (but "A" for the Ace) in at least two corners.

Given:

A deck of cards

Required: To find the probability of obtaining a card that is has the number 3 and is black

Method:

Step 1: First, the total number of cards in a deck is 52

Step 2: The total obtainable black number 3 cards are:

3 clubs and 3 spades. This is a total of 2 outcomes

Step 3: The probability of getting a the number 3 and is black is:

[tex]\begin{gathered} Pr(3B)\text{ =}\frac{2}{52} \\ Pr(3B)=\text{ }\frac{1}{26} \end{gathered}[/tex]

Final answer:

The probability is 1/26

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