1. What is the probability of getting an even number when rolling a six-sided number cube? (1 point)
00.5
05%
02
б
O 30%
50% or 0.5 (assuming the number cube is fair and has the numbers 1-6 equally likely)
1. What is the probability of getting an even number when rolling a six-sided number cube? (1 point)
A-0.5
B-05%
C-2/6
D- 30%
The correct answer is A - 0.5 or 50%.
You place the letters for the word smart in a bag. What is the probability of choosing a letter that is not a vowel? (Remember, vowels are A, E, 1, 0, and U.)
A-0.2
B-1/5
C-80%
D-0.75
The correct answer is B - 1/5 or 20%.
Reasoning: The letters for the word smart are S, M, A, R, and T. Out of these letters, two are vowels (A and R) and three are consonants (S, M, and T). So the probability of choosing a letter that is not a vowel is 3/5 or 0.6. Converted to a fraction, this is 6/10 or 3/5 which simplifies to 1/5 when expressed as a percentage, which is approximately 20%.
You have a bag with 20 marbles: 2 yellow, 5 green, 12 red, and 1 blue. Which of the following statements are true? Select all that apply.
The probability of choosing a yellow, green, red, or blue marble is 1.
The probability of choosing a yellow marble is less than the probability of choosing a blue marble.
• The probability of choosing a green marble is 0.25.
I The probability of choosing a black marble is zero.
The correct statements are:
- The probability of choosing a yellow, green, red, or blue marble is 1. (True, since every marble in the bag is either yellow, green, red, or blue, so one of them must be chosen.)
- The probability of choosing a green marble is 0.25. (True, since there are 5 green marbles out of 20 total marbles, which simplifies to 1/4 or 0.25.)
- The probability of choosing a black marble is zero. (True, since there are no black marbles in the bag, so it is impossible to choose one.)
- The statement "The probability of choosing a yellow marble is less than the probability of choosing a blue marble" is not necessarily true. Without calculating the probabilities, it is not possible to compare them. It depends on how many yellow and blue marbles there are in the bag. However, we know that the probability of choosing a blue marble is 1/20 or 0.05, since there is only one blue marble in the bag out of 20 total marbles.
Which ones?
The correct statements are:
- The probability of choosing a yellow, green, red, or blue marble is 1.
- The probability of choosing a green marble is 0.25.
- The probability of choosing a black marble is zero.
The statement "The probability of choosing a yellow marble is less than the probability of choosing a blue marble" is not necessarily true without calculating the probabilities.
4. If P(blue) is 0.3, what is P(not blue)? (I point)
A-0.3
B-0.5
C-0.6
D-0.7
The correct answer is C) 0.6.
Explanation: P(not blue) means the probability of something that is not blue happening, which in this case is the probability of getting a non-blue outcome. To calculate it, we can subtract the probability of the event we want (getting blue) from 1 (the total probability of all possible outcomes):
P(not blue) = 1 - P(blue)
P(blue) is given as 0.3, so:
P(not blue) = 1 - 0.3 = 0.7.
Therefore, the probability of not getting blue is 0.7 or 70%.
Which event is considered neither likch nor unlikely?
(I point)
A- rolling a number greater than 1 on a six-sided number cube
B- rolling a 1 on a six-sided number cube
C- getting heads when flipping a coin
D- choosing an X, Y, or Z from a bag containing all the letters of the alphabet
The correct answer is A. Rolling a number greater than 1 on a six-sided number cube is considered a neutral event because it has an equal chance of happening and not happening. There are four numbers (2, 3, 4, 5) on the die that are greater than 1, and two numbers (1 and 6) that are not. Therefore, the probability of rolling a number greater than 1 is 4/6, or 2/3, which is neither likely nor unlikely but probable.
The other events have different probabilities:
- Rolling a 1 on a six-sided number cube has a probability of 1/6, which is an unlikely event.
- Getting heads when flipping a coin has a probability of 1/2, which is a probable event but not a neutral one.
- Choosing an X, Y, or Z from a bag containing all the letters of the alphabet depends on how many letters there are in the bag. If there are 26 letters and 3 of them are X, Y, or Z, the probability is 3/26, which is an unlikely event.