Respuesta :
The probability of drawing a king or a diamond from a standard deck of 52 cards is 4/13.
How to find the probability of drawing a king or a diamond from a standard deck of 52 cards?
Probability is a way of evaluating how likely something is to happen. Many things are difficult to forecast with absolute certainty.The branch of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
[tex]probability = \frac{the \: numbers \: of \: favourable \: outcomes }{total \: number \: of \: possible \: outcomes} [/tex]
given that
A standard deck has 52 cards.
The number of king in standard deck of cards is 4.
The number of diamond in standard deck of cards is 13.
now, find the probability of getting a king in standard deck of cards
so, the number of favourable outcomes = 4
the total number of possible outcomes = 52
so, the probability of getting a king p(k) = 4/52.
now, find the probability of getting a diamond in standard deck of cards
so, the number of favourable outcomes = 13
the total number of possible outcomes = 52
so, the probability of getting a diamond p(d) = 13/52.
now find the probability of drawing a king or a diamond from a standard deck of 52 cards.
the probability of drawing a king or a diamond from a standard deck of 52 cards.
P(E) = p(k) + p(d) - p(k/d)
[tex]P(E) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52} \\ P(E) = \frac{4 + 13 - 1}{52} \\ P(E) = \frac{4}{13} [/tex]
Hence, The probability of drawing a king or a diamond from a standard deck of 52 cards is 4/13.
Learn more about probability from here:
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