Problem

Determine whether the following individual events are overlapping or non-overlapping. Then find the probability of the combined event. Drawing either a spade or a diamond from a regular deck of cards The individual events are The probability of drawing either a spade or a diamond from a regular deck of cards is $\square$. (Type an integer or a simplified fraction.)

Solution

Step 1 :The two events here are drawing a spade and drawing a diamond from a deck of cards. These are non-overlapping events because a card cannot be both a spade and a diamond at the same time.

Step 2 :To find the probability of the combined event, we need to add the probabilities of the individual events.

Step 3 :There are 52 cards in a deck, 13 of each suit (spades, diamonds, clubs, hearts). So the probability of drawing a spade is \( \frac{13}{52} \) and the probability of drawing a diamond is also \( \frac{13}{52} \).

Step 4 :Let's calculate the combined probability. The probability of drawing a spade is 0.25 and the probability of drawing a diamond is also 0.25. So, the combined probability is \( 0.25 + 0.25 = 0.5 \).

Step 5 :Final Answer: The probability of drawing either a spade or a diamond from a regular deck of cards is \( \boxed{\frac{1}{2}} \).

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Source: https://solvelyapp.com/problems/3tsBkAR9ZL/

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