Find the indicated probability. Round your answer to 6 decimal places when necessary
One card is selected from a deck of cards. Find the probability of selecting a red card or a jack
I’m fraction form
There are 26 red cards in a deck (13 hearts and 13 diamonds) and 4 jacks in a deck (jack of hearts, jack of diamonds, jack of clubs, jack of spades).
The probability of selecting a red card or a jack can be calculated as the sum of the probabilities of selecting a red card and selecting a jack, minus the probability of selecting a red jack (since it would be counted twice in the sum).
P(red or jack) = P(red) + P(jack) - P(red jack)
P(red) = 26/52 = 1/2
P(jack) = 4/52 = 1/13
P(red jack) = 2/52 = 1/26
P(red or jack) = 1/2 + 1/13 - 1/26 = 13/26 + 2/26 - 1/26 = 14/26 = 7/13
Therefore, the probability of selecting a red card or a jack is 7/13.