The king queen and jack of clubs are removed from a pack of 52 cards a...
Remaining total cards = 52 - 3 = 49
i) P( a spade) = 13/49
ii) P( black King) =1/49
iii) P( a club) = 13 - 3/49 => 10/49
iv) P( a jack) = 4 - 1/49 => 3/49
The king queen and jack of clubs are removed from a pack of 52 cards a...
Probability of getting a card of spade:
To find the probability of getting a card of spade, we need to determine the favorable outcomes and the total number of possible outcomes.
Favorable outcomes:
There are 13 spade cards in a standard deck of 52 cards.
Total number of possible outcomes:
After removing the king, queen, and jack of clubs, there are 49 cards remaining in the deck.
Therefore, the probability of getting a card of spade is:
P(spade) = Number of favorable outcomes / Total number of possible outcomes
P(spade) = 13 / 49
Probability of getting a card of black king:
To find the probability of getting a card of black king, we need to determine the favorable outcomes and the total number of possible outcomes.
Favorable outcomes:
There are two black kings in a standard deck of 52 cards, which are the king of spades and the king of clubs.
Total number of possible outcomes:
After removing the king, queen, and jack of clubs, there are 49 cards remaining in the deck.
Therefore, the probability of getting a card of black king is:
P(black king) = Number of favorable outcomes / Total number of possible outcomes
P(black king) = 2 / 49
Probability of getting a card of club:
To find the probability of getting a card of club, we need to determine the favorable outcomes and the total number of possible outcomes.
Favorable outcomes:
There are 13 club cards in a standard deck of 52 cards, but since the king, queen, and jack of clubs have been removed, there are 10 club cards remaining in the deck.
Total number of possible outcomes:
After removing the king, queen, and jack of clubs, there are 49 cards remaining in the deck.
Therefore, the probability of getting a card of club is:
P(club) = Number of favorable outcomes / Total number of possible outcomes
P(club) = 10 / 49
Probability of getting a card of jacks:
To find the probability of getting a card of jacks, we need to determine the favorable outcomes and the total number of possible outcomes.
Favorable outcomes:
There are four jacks in a standard deck of 52 cards, which are the jack of hearts, jack of diamonds, jack of spades, and jack of clubs. However, since the jack of clubs has been removed, there are three jacks remaining in the deck.
Total number of possible outcomes:
After removing the king, queen, and jack of clubs, there are 49 cards remaining in the deck.
Therefore, the probability of getting a card of jacks is:
P(jacks) = Number of favorable outcomes / Total number of possible outcomes
P(jacks) = 3 / 49
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