Question

The king, queen, jack of clubs is removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of queen​

Answer 1

${\textsf{\textbf{\underline{\underline{3/49 is the probability of getting a card of queen. </p><p>\::}}}}}$

Step-by-step explanation:

Step-by-step explanation:Given that:

• The king, queen, jack of clubs is removed from a deck of 52 playing cards and the remaining cards are shuffled.
• A card is drawn from the remaining cards.

To Find:

• The probability of getting a card of queen.

Finding the total outcomes:

We know that.

• Total king of club = 1
• Total queen of club = 1
• Total jack of club = 1

• When king, queen, jack of clubs is removed.
• Remaining cards = 52 - (1 + 1 + 1)
• Remaining cards = 52 - 3 = 49

∴ Total outcomes = 49

Finding the favourable outcomes:

Total queens in playing card = 4

Queen of club removed.

Queens left = 4 - 1 = 3

∴ Favourable outcomes = 3

Formula used:

➪ P(E) = F/T

Where,

• P(E) = Probability of an events
• F = Favourable outcomes
• T = Total outcomes

Finding the probability of getting a card of queen:

⟶ P(E) = 3/49

${\textsf{\textbf{\underline{\underline{∴ The probability of getting a card of queen = 3/49\::}}}}}$