Question

One card is randomly drawn from a standard deck of 52 cards. Find the probability.

P(heart or red)

Short answer

The required probability is $\frac{1}{2}$.

Step-by-step solution

Step 1. Define the meaning of probability.

The probability is a measure of the likelihood of an event to occur.

Step 2. Define the meaning of random event.

A random event is an event whose outcome is unpredictable.

Step 3. Determine the probability P(heart or red).

Since in a standard deck of cards, there are 13 cards of hearts and also 13 cards of red and total are 52 cards.

Since, one card is drawn at random from the standard deck of cards.

To determine the probability, choose one card from hearts or one card from red.

P(heart) $=\frac{13}{52}$

P (red) $=\frac{13}{52}$

$P(\mathrm{heart}\mathrm{or}\mathrm{red})=P\left(\mathrm{heart}\right)+P\left(\mathrm{red}\right)=\frac{13}{52}+\frac{13}{52}=\frac{26}{52}=\frac{1}{2}$

Therefore the required probability is $\frac{1}{2}$.