Chapter 0.6, Problem 13E

To determine

Probability for the correct guess about the card is the ace of diamonds.

Answer to Problem 13E

Probability that the card is ace of diamonds is $\frac{1}{26}$ .

Explanation of Solution

Given information:

A card has been drawn from a standard deck.

The drawn card is red.

We know that

Standard deck consists of 52 cards.

That includes 26 red and black cards each.

At the beginning,

It is known that the friend is holding red card.

We are required to know the probability to pick exactly ace of diamonds.

We also know

There is exactly one ace of diamonds in red cards.

Thus,

  $P\left(\text{exactly}\text{ace}\text{of}\text{diamonds}\right)=\frac{Numberofaceofdiamonds}{Totalredcards}=\frac{1}{26}$