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:
3/49 is the probability of getting a card of queen.
Answers
Answer:
3/49 is the probability of getting a card of queen.
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
∴ The probability of getting a card of queen = 3/49
3/49 is the probability of getting a card of queen.
as there are a queen a king and a jack in each group (there are 4 groups) but a queen a king and a jack is removed so now there are only 3 groups so there are now total 9 king,queen and jack so the probability of a queen card is