Q30. - Algebra 1

Question

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

P(10 or spade)

Step-by-Step Solution

Answer

The required probability is $\frac{17}{52}$.

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 (10 or spade).

Since in a standard deck of cards, there are 4 cards of 10 and also 13 cards of spades 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 10 or one card from spades.  

P(10) $=\frac{4}{52}$

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

$P (10 \mathrm{or} \mathrm{spade})=P \left(10\right)+P \left(\mathrm{spade}\right)=\frac{4}{52}+\frac{13}{52}=\frac{17}{52}$

 

Therefore the required probability is $\frac{17}{52}$.