Question

You randomly select one card from a 52-card deck. Find the probability of selecting a three or a ten.

Answer 1

Step-by-step explanation

In a standard 52-card deck there are four cards of each value. This means that in one deck we have a total of 4 threes and 4 tens. The probability of selecting a card with a number N from the deck is given by the quotient between the number of N's in the deck and the total amount of cards in the deck.

This means that the probability of selecting a three is given by the number of threes divided by the number of cards:

`P(3)=(4)/(52)=(1)/(13)`

Then the probability of selecting a ten is:

`P(10)=(4)/(52)=(1)/(13)`

The probability of selecting either a 3 or a 10 is given by the sum of the probabilities:

`P(3\text{ or }10)=(1)/(13)+(1)/(13)=(2)/(13)`Answer

Then the answer is 2/13.