A single card is drawn from a deck. Find the probability of selecting a 10 or a diamond.
prob(10 OR diamond)
= prob(10) + prob(diamond) - prob(10 of diamond)
= 4/52 + 13/52 - 1/52
= 16/52 = 4/13
To find the probability of selecting a 10 or a diamond from a deck of cards, we first need to determine the number of favorable outcomes and the total number of possible outcomes.
Number of favorable outcomes:
There are four 10s in a deck of cards - the 10 of spades, 10 of hearts, 10 of diamonds, and 10 of clubs. There are also 13 diamonds in a deck.
So, the number of favorable outcomes is 4 (for the 10s) + 13 (for the diamonds) - 1 (since the 10 of diamonds was already counted as a diamond) = 16.
Total number of possible outcomes:
A standard deck of cards contains 52 cards.
Therefore, the total number of possible outcomes is 52.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 16 / 52
= 4 / 13
≈ 0.3077
So, the probability of selecting a 10 or a diamond from a deck of cards is approximately 0.3077, or about 30.77%.