You randomly select one card from a 52-card deck. Find the probability of selecting the
ten of diamonds or the nine of hearts.
The probabilitiy is . (Type an integer or a fraction. Simplify your answer.)

Question

You randomly select one card from a 52-card deck. Find the probability of selecting the
ten of diamonds or the nine of hearts.
The probabilitiy is

. (Type an integer or a fraction. Simplify your answer.)

UpStudy AI · Accepted Answer

Let the probability be given by

$$
P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
$$

Since there are 52 cards in a deck, the total number of outcomes is $$52$$.

There are two favorable outcomes (the ten of diamonds and the nine of hearts), so

$$
P = \frac{2}{52} = \frac{1}{26}
$$

Thus, the probability is $$ \frac{1}{26} $$.
The probability is $$ \frac{1}{26} $$.

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