find the probability of drawing an ace or spades from a well shuffled pack of 52 cards?
Answers
1) probability of drawing an ace will be the no. of aces in the deck divided by total no. of cards
=》 4/52
=》1/13
2) Probablity of drawing spades will be the no.of spades in the deck divided by total no. of cards
=》13/52
=》 1/4
Given:
A card is being drawn from a well-shuffled pack of 52 cards.
To Find:
The probability of getting an ace or a spade is?
Solution:
1. A pack of 52 cards contains 13 club cards, 13 spade cards, 13 diamond cards, 13 heart cards. Each of the 13 cards contains one Ace card.
2. Probability of an event is given by the formula,
=> Probability = (total outcomes favorable to the event)/(total number of outcomes)
3. Total favorable outcomes = (13 spade cards with ace included) + 3 ace cards of either diamond, heart, or club.
=> Total favorable outcomes = 13 + 3 = 16.
4. The total number of outcomes = 52.
=> Probability(Ace or Spade) = (16/52),
=> Probability = 4/13.
Therefore, the probability of getting an ace or spade from a pack of 52 cards is 4/13.