1. Which of the following sample spaces correctly lists all the possible outcomes for flipping a coin and spinning a four-colored spinner (red, blue, green, and yellow)?
A. H-red, H-blue, H-green, H-yellow, T-yellow, T-green, T-blue, T-red
B. H-red, T-red, H- blue, T-blue, H-green, T-yellow
C. T-yellow, H-red, T-blue, H-green, T-green, H-yellow, T-red
D. H-red, T-blue, H-green T-yellow
2. A number cube is rolled. What is P(3 or an even number)?
A. 1/2
B. 2/3
C. 4/2
D. 1/6
Which of the following is a certain event?
A. Rolling a composite number on a number cube
B. Rolling a number greater than 1 on a number cube
C. Rolling an odd or even number on a number cube
D. Rolling an odd or even number greater than 7
3. A jar contains 5 green erasers, 2 striped erasers, 4 pink erasers, and 3 white erasers. You select an eraser at random. What is P(not pink)?
A. 4/14
B. 2/5
C. 5/7
D. 1/7
4. You write each letter of the word MATHEMATICIAN on a piece of paper and put them in a bag. You randomly select one piece from the bag. What is P(T or A)?
A. 5/13
B. 5/8
C. 1/3
D. 8/13
5. You have 3 pairs of white socks, 4 pairs of black socks, and 2 pairs of colored socks in your drawer. What is the probability that you reach into the drawer and randomly select a pair of white socks?
A. 1/2
B. 1/3
C. 2/3
D. 3/7
Please help. There are 25 questions in all, but these five I am stumped on. Thanks in advance.
Quiz Answers For Connexus:
1.B
2.A
3.C
4.B
5.C
6.B
7.C
8.B
9.A
10.B
Your welcome.
AVeryViolentGirl is 100% right!! Listen to her!!
i know i came here for answers but im glad how this conversation turned out XD
so what are the answers
i know 3-5
1. To find the correct sample space, we need to list all possible outcomes for flipping a coin and spinning a spinner. Let's go through each option and determine if it correctly lists all the possible outcomes.
A. H-red, H-blue, H-green, H-yellow, T-yellow, T-green, T-blue, T-red
This option correctly lists all the outcomes for flipping a coin (H for heads and T for tails) but does not include all the possible outcomes for spinning a spinner. It is missing the outcome of spinning blue.
B. H-red, T-red, H-blue, T-blue, H-green, T-yellow
This option incorrectly only lists two outcomes for flipping a coin (H and T) instead of four, and does not include all the possible outcomes for spinning a spinner. It is missing the outcomes of spinning green and yellow.
C. T-yellow, H-red, T-blue, H-green, T-green, H-yellow, T-red
This option correctly lists all the outcomes for flipping a coin (H and T) and spinning a spinner (yellow, blue, green, and red). Therefore, it correctly lists all the possible outcomes.
D. H-red, T-blue, H-green T-yellow
This option incorrectly only lists two outcomes for flipping a coin (H and T) instead of four, and does not include all the possible outcomes for spinning a spinner. It is missing the outcomes of spinning blue and green.
Therefore, the correct answer is option C. T-yellow, H-red, T-blue, H-green, T-green, H-yellow, T-red.
2. To find the probability of rolling a 3 or an even number on a number cube, we need to determine the favorable outcomes (the outcomes that satisfy the condition) and the total number of possible outcomes.
Favorable outcomes for rolling a 3: There is only one outcome (rolling a 3).
Favorable outcomes for rolling an even number: There are three outcomes (rolling a 2, 4, or 6).
Total number of possible outcomes: There are six possible outcomes when rolling a number cube (rolling a 1, 2, 3, 4, 5, or 6).
To find the probability, we add the number of favorable outcomes and divide by the total number of possible outcomes:
P(3 or an even number) = (1 + 3) / 6 = 4 / 6 = 2 / 3
Therefore, the correct answer is B. 2/3.
3. To find the probability of selecting an eraser that is not pink, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Favorable outcomes for not pink erasers: There are 5 green erasers, 2 striped erasers, and 3 white erasers, making a total of 5 + 2 + 3 = 10 favorable outcomes.
Total number of possible outcomes: There are 5 green erasers, 2 striped erasers, 4 pink erasers, and 3 white erasers, making a total of 5 + 2 + 4 + 3 = 14 possible outcomes.
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
P(not pink) = 10 / 14 = 5 / 7
Therefore, the correct answer is C. 5/7.
4. To find the probability of selecting the letter T or A from the word MATHEMATICIAN, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Favorable outcomes for T or A: There are 2 occurrences of T and 3 occurrences of A in the word, making a total of 2 + 3 = 5 favorable outcomes.
Total number of possible outcomes: There are 13 letters in the word MATHEMATICIAN.
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
P(T or A) = 5 / 13
Therefore, the correct answer is A. 5/13.
5. To find the probability of randomly selecting a pair of white socks, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Favorable outcomes for selecting a pair of white socks: There are 3 pairs of white socks.
Total number of possible outcomes: There are 3 pairs of white socks, 4 pairs of black socks, and 2 pairs of colored socks, making a total of 3 + 4 + 2 = 9 possible pairs of socks.
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
P(pair of white socks) = 3 / 9 = 1 / 3
Therefore, the correct answer is B. 1/3.
I hope this helps you with these questions! If you have any more questions, feel free to ask.