Suppose that a single card is selected from a standard 52-card deck. what is the probability that the card drawn is a queenqueen? now suppose that a single card is drawn from a standard 52-card deck, but it is told that the card is court left parenthesis jack comma queen comma or king right parenthesiscourt (jack, queen, or king). what is the probability that the card drawn is a queenqueen?

there are 52 cards in a standard deck. 4 of these are queens. therefore there is a 4/52 or 1/13 chance of drawing a queen at random

if you draw a card at random and ate told it is a face card (J, Q, or K) then there are 4 queens out of 12 face cards = 4/12or 1/3 chance you drew a queen

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MrRoyal MrRoyal · Answer 2 · 2021-10-21T14:22:36+02:00

Probabilities are used to determine the chances of an event.

The probability of selecting a queen in a standard deck is 1/13
The probability of selecting a queen from Jack, Queen or King is 1/3

(a) Probability of selecting a queen from a standard-deck

In a standard-deck, we have:

[tex]\mathbf{Cards= 52}[/tex]

[tex]\mathbf{Queen= 4}[/tex]

So, the probability of selecting a queen is;

[tex]\mathbf{P(Queen) = \frac{Queen}{Cards}}[/tex]

[tex]\mathbf{P(Queen) = \frac{4}{52}}[/tex]

Simplify

[tex]\mathbf{P(Queen) = \frac{1}{13}}[/tex]

Hence, the probability of selecting a queen in a standard deck is 1/13

(b) Probability of selecting a queen from (Jack, Queen, King)

We have:

[tex]\mathbf{Cards= 3}[/tex]

[tex]\mathbf{Queen= 1}[/tex]

So, the probability of selecting a queen is;

[tex]\mathbf{P(Queen) = \frac{Queen}{Cards}}[/tex]

[tex]\mathbf{P(Queen) = \frac{1}{3}}[/tex]

Hence, the probability of selecting a queen from Jack, Queen or King is 1/3