Probability. Select one card. One card is selected from a deck of playing cards. Determine the Probability of selecting a Jack OR a club. P(AorB)= P(A) + P(B) - P(A and B)

To determine the probability of selecting a Jack OR a club, we need to calculate the individual probabilities of selecting a Jack and a club, as well as the probability of selecting a card that is both a Jack and a club.

1. Calculate the probability of selecting a Jack:
In a standard deck of 52 cards, there are 4 Jacks (one Jack in each suit - clubs, diamonds, hearts, and spades). So, the probability of selecting a Jack is 4/52 (or simplified, 1/13), since there are 4 favorable outcomes out of a total of 52 possible outcomes.

2. Calculate the probability of selecting a club:
In a standard deck of 52 cards, there are 13 clubs (one club in each rank - Ace, 2 to 10, Jack, Queen, and King). Therefore, the probability of selecting a club is 13/52 (or simplified, 1/4), since there are 13 favorable outcomes (clubs) out of a total of 52 possible outcomes.

3. Calculate the probability of selecting a card that is both a Jack and a club:
There is only one card in the deck that fulfills both criteria - the Jack of clubs. So, the probability of selecting a card that is both a Jack and a club is 1/52, since there is only one favorable outcome (the Jack of clubs) out of a total of 52 possible outcomes.

Now, we can substitute these probabilities into the formula P(AorB) = P(A) + P(B) - P(A and B):

P(Jack or club) = P(Jack) + P(club) - P(Jack and club)
= 1/13 + 1/4 - 1/52
= 4/52 + 13/52 - 1/52
= 16/52
= 4/13

Therefore, the probability of selecting a Jack OR a club from a deck of playing cards is 4/13.