A card is drawn at random from a standard deck of 52 cards. Find the probability...

August 2022 1 2 Report

A card is drawn at random from a standard deck of 52 cards. Find the probability of drawing a 7 or a red card?

PROBABILITY OF A UNION

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$\Large\underline\mathbb{QUESTION:}$

A card is drawn at random from a standard deck of 52 cards. Find the probability of drawing a 7 or a red card?

$\Large\underline\mathbb{ANSWER:}$

$\footnotesize\sf{Let\:A\:=\: Drawing\:a\:7 \:\:\:,\:\:\:B\:=\:red\:cards}$

$\scriptsize\sf{There\:are\:four\:7\:drawing\:cards, So \:P(A) \:=}$ $\sf \frac{4}{52}$

$\scriptsize\sf{There\:are\:26\:red\:cards, So \:P(B) \:=}$ $\sf \frac{26}{52}$

$\scriptsize\sf{There\:are\:Two \: 7\:red\:cards, So \:P(A \: \cap \: B) \:=}$ $\sf\frac{2}{52}$

$\footnotesize\bold{FORMULA:}$

$\begin{gathered}\boxed{\begin{array}{cc} \sf \scriptsize \: P(A \: \cup \: B) = P(A) + P(B) \: - P(A \: \cap \: B)\end{array}}\end{gathered}$

$\sf \footnotesize \: P(A \: \cup \: B) = \frac{4}{52} + \frac{26}{52} - \frac{2}{52}$

$\sf \footnotesize \: P(A \: \cup \: B) = \frac{4 \: + \: 26 \: - \: 2 }{52}$

$\sf \footnotesize \: P(A \: \cup \: B) = \frac{28}{52} \: or \: \frac{7}{13 } \longmapsto \: lowest \: term$

Therefore, the probability is 7/13

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૮₍´˶• . • ⑅ ₎ა $\small\tt\underline\color{purple}{Study\:Well!}$

Lili131 wc :(

hazel3920 Ate pwede po pa help? nasa question ko po Filipino