Question

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of getting a queen of spade is ______.

Options

• `1/26`

• `1/52`

• 0

• `1/4`

Answer 1

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of getting a queen of spade is `underlinebb(1/52)`.

Explanation:

1. Identify total outcomes

A standard deck contains a total of 52 unique playing cards. Therefore, the total number of possible outcomes when drawing one card is n(S) = 52.

2. Identify favorable outcomes

In a standard deck, there is only one card that is both a queen and a spade the queen of spades. Thus, the number of favorable outcomes is n(E) = 1.

3. Calculate the probability

The probability P(E) of an event is the ratio of favorable outcomes to total outcomes:

P(Queen of spades) = `(n(E))/(n(S))`

= `1/52`