Questions: You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is. (Type an integer or a decimal.)

You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

The probability is.
(Type an integer or a decimal.)

Transcript text: You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive The probability is $\square$ $\square$. (Type an integer or a decimal.)

Solution

Solution Steps

To find the probability of drawing a heart, diamond, club, or spade from a shuffled deck of cards, we need to consider the total number of favorable outcomes and the total number of possible outcomes. A standard deck of cards has 52 cards, and each suit (hearts, diamonds, clubs, spades) has 13 cards. Since we are certain to draw one of these suits, the probability is the number of favorable outcomes (52) divided by the total number of possible outcomes (52).

Step 1: Total Outcomes

In a standard deck of cards, the total number of cards is given by: \[ \text{Total cards} = 52 \]

Step 2: Favorable Outcomes

The number of favorable outcomes, which includes all cards in the four suits (hearts, diamonds, clubs, spades), is: \[ \text{Favorable outcomes} = 52 \]

Step 3: Calculate Probability

The probability $ P $ of drawing a heart, diamond, club, or spade is calculated as: \[ P = \frac{\text{Favorable outcomes}}{\text{Total cards}} = \frac{52}{52} = 1.0 \]