Question

A card is chosen at random from a standard deck of 52 playing cards.
What is the probability that the chosen card is a jack or an ace?

ANSWER CHOICES:
1/13
4/21
1/4
2/13

Answer 1

Answer:

1/13

Step-by-step explanation:

A card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing: 1. an ace P ace= 4/52 = 1/13 2.

Answer 2

$\: \: \: \: \: \bf \pmb{ \bf{\maltese\:Given} }$

• A card is chosen at random from a deck of 52 cards.

$\: \: \: \: \: \pmb{ \bf{\maltese\:To \: find} }$

• The probability that the chosen card is a jack or an ace

$\: \: \: \: \: \pmb{ \bf{\maltese\:Solution} }$

$\small{\red{\boxed{ \tt \: Probability \: of \: event \: \bf P \: (E) \sf = \dfrac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: outcomes} }} }$

• Total number of Jack = 4
• Total number of Ace = 4

⟹ So, numbernof favourable outcomes = 8

• Total outcomes.(allcards) = 52

$\sf Hence, probability \: of \: a \: jack\ or \ ace \: = \cancel\dfrac{8}{52} = \bf \dfrac{2}{13}$

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