Question

QUESTIONS
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a
red card. please tell ​

Answer 1

Required Answer:-

In a deck of cards, there are 26 red cards and 26 black cards. The red cards include:

• Diamond cards (13) &
• Heart cards (13)

And the black cards include:

• Spade cards (13)
• Club cards (13)

We to need to find the probability of getting red cards from the deck of cards.

1. Possible outcomes (Red card) = 26
2. Total outcomes = 52

Then, probability is given by:

$\underline{\boxed{ \rm{P(E) = \frac{Possible \: outcomes \: of \: the \: event}{Total \: outcomes.}}}}$

Plugging the values:

➙ P(Red cards) = 26/52

➙ P(Red cards) = 1/2 or 0.5 (Required probability)

Answer 2

Given : One card is drawn from a well-shuffled deck of 52 cards .

Exigency To Find : The probability of getting a red card .

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

Given that ,

⠀⠀⠀One card is drawn from a well-shuffled deck of 52 cards. .

$\rule{200}2$

⠀⠀⠀Finding the Probability of getting a red card from a well-shuffled deck of 52 cards :

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

⠀For this first we should know there are how many and what type of cards in a Deck ;

⠀⠀⠀A standard deck of playing cards contains 52 cards .

⠀⠀⠀Here ,

⠀⠀⠀⠀⠀⠀The no. of Black cards are 26 cards , in which ,

⠀⠀⠀⠀⠀⠀⠀⠀⠀▪︎⠀There are 13 Spades Cards ( ♤ )

⠀⠀⠀⠀⠀⠀⠀⠀⠀▪︎⠀There are 13 Clubs Cards ( ♧ )⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀&

⠀⠀⠀⠀⠀⠀The no. of Red cards are 26 cards , in which ,

⠀⠀⠀⠀⠀⠀⠀⠀⠀▪︎⠀ There are 13 Hearts Cards ( ♡ )

⠀⠀⠀⠀⠀⠀⠀⠀⠀▪︎⠀There are 13 Diamonds Cards ( ◇ )

$\rule{200}2$

$\dag\:\:\sf{ As,\:We\:know\:that\::}\\\\\qquad\maltese \:\:\bf Formula\:for\: Probability\:\;:$

$\qquad \dag\:\:\bigg\lgroup \sf{Probability \:: \dfrac{ Favorable \:Outcome }{Total\:Outcome }}\bigg\rgroup$

⠀⠀⠀⠀⠀⠀⠀Here ,

• Favorable Outcome : The no. of Red cards is 26
• Total Outcomes : The no. of cards in a deck is 52

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}$

$\qquad:\implies \sf Probability_{(Red \:Cards\:)} \:=\: \dfrac{ Favorable \:Outcome }{Total\:Outcome }$

$\qquad:\implies \sf Probability_{(Red\:Cards \:)}\:=\: \dfrac{ 26 }{52}$

$\qquad:\implies \sf Probability_{(Red\:Cards \:)} \:=\: \cancel {\dfrac{ 26 }{52}}$

$\qquad:\implies \sf Probability_{(Red\:Cards \:)} \:=\: \dfrac{1}{2}$

$\qquad:\implies \bf Probability_{(Red\:Cards \:)} \:=\: \dfrac{ 1 }{2}\:\:or\;\:0.5\:$

$\qquad:\implies \frak{\underline{\purple{\: Probability_{(Red\:Cards \:)} \:=\: \dfrac{ 1 }{2}\:\:or\;\:0.5\:}} }\:\:\bigstar$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {\:The\:Probability \:of\:getting \:red\:cards\:is\:\bf{ \dfrac{ 1 }{2}\:\:or\;\:0.5\: .}}}}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

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