G-10 Probability
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the probability of getting an even number when a die is thrown?
Back
The even numbers on a die are 2, 4, and 6. There are 3 even numbers out of 6 total outcomes, so the probability is \( \frac{3}{6} = \frac{1}{2} \). However, if we consider even numbers less than or equal to 4, the even numbers are 2 and 4, giving a probability of \( \frac{2}{6} = \frac{1}{3} \).
2.
FLASHCARD QUESTION
Front
How do you calculate the probability of drawing a blue ball from a bag containing 24 balls (4 red, 8 white, and 12 blue)?
Back
The total number of balls is 24. The number of blue balls is 12. The probability of drawing a blue ball is \( \frac{12}{24} = \frac{1}{2} \).
3.
FLASHCARD QUESTION
Front
What is the probability of getting a head in a single throw of a die?
Back
A die has 6 faces, and none of them are heads. Therefore, the probability of getting a head is 0.
4.
FLASHCARD QUESTION
Front
Which of the following cannot be the probability of an event: 1/2, 6/7, 7/5, 0.25?
Back
7/5 cannot be a probability because probabilities must be between 0 and 1.
5.
FLASHCARD QUESTION
Front
If the probability of an event happening is P, what is the probability of it not happening?
Back
The probability of the event not happening is given by \( 1 - P \).
6.
FLASHCARD QUESTION
Front
What is the range of possible values for probability?
Back
The range of possible values for probability is from 0 to 1, inclusive.
7.
FLASHCARD QUESTION
Front
What is the probability of rolling a number greater than 4 on a standard die?
Back
The numbers greater than 4 are 5 and 6. Therefore, the probability is \( \frac{2}{6} = \frac{1}{3} \).
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