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Question 6(Multiple Choice Worth 2 points)
(Theoretical Probability MC)
A set of 3 cards, spelling the word ADD, are placed face down on the table. Determine
(Theoretical Probability MC)
When rolling a 6 -sided die twice, determine P (sum of 4 ).
3
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(Theoretical Probability MC)
(Theoretical Probability MC)
When rolling a 6 -sided die twice, determine P (sum of 4 ).
3
Next Qucstion
Ask by Cruz Bates. in the United States
Mar 22,2025
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Question 6 Answer:
Question 7 Answer:
Solution
Question 6
- The set of cards is
. - Since the cards are drawn with replacement, the probability stays the same for each draw.
- The probability of drawing an
on one draw is - The probability of drawing a
on one draw is - Since the events are independent, the probability of drawing
then is
Question 7
- When rolling a 6-sided die twice, the total number of outcomes is
- The outcomes that sum to 4 are:
-
- There are 3 favorable outcomes.
- Therefore, the probability is
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Simplify this solution Bonus Knowledge
Did you know that probability has roots in ancient gambling practices? The famous French mathematician Blaise Pascal, in the 17th century, began to formulate the principles of probability while discussing games of chance with fellow philosopher Pierre de Fermat. This collaboration laid the groundwork for modern probability theory and its applications in various fields, from finance to science!
When it comes to real-world applications of probability, think about it like this: businesses use probability to forecast sales, insurance companies rely on it to calculate risks, and even weather forecasts utilize probability to predict rain or shine! Understanding probability not only helps in making informed decisions but also equips you with the skills to navigate life’s uncertainties.
