Hello! :D can someone help me please by checking my answers? :3
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
<•> = selected
<> = not selected
<•> 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 if choosing a green marble is 0.25.
<•> The probability of choosing a black marble is zero.
Thanks! :D
Sure! Let's check your answers:
<•> The probability of choosing a yellow, green, red, or blue marble is 1.
This statement is correct. Since all the marbles in the bag are either yellow, green, red, or blue, the probability of choosing any of these colors is equal to 1.
<> The probability of choosing a yellow marble is less than the probability of choosing a blue marble.
This statement is incorrect. We have 2 yellow marbles and 1 blue marble, so the probability of choosing a yellow marble (2/20) is greater than the probability of choosing a blue marble (1/20).
<•> The probability of choosing a green marble is 0.25.
This statement is correct. Since there are 5 green marbles out of a total of 20 marbles, the probability of choosing a green marble is 5/20, which simplifies to 1/4 or 0.25.
<•> The probability of choosing a black marble is zero.
This statement is correct. There are no black marbles in the bag, so the probability of choosing a black marble is zero.
So, 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.
I hope this helps! Let me know if you have any other questions.
Sure, I can help you check your answers! Let's go through each statement one by one:
<•> The probability of choosing a yellow, green, red, or blue marble is 1.
To calculate the probability, we need to know the total number of marbles in the bag. In this case, there are 20 marbles. The statement says that the probability of choosing any of the four colors is 1, which means it is certain to happen. Since there are 20 marbles in total and all the colors mentioned are present in the bag, this statement is true.
<> The probability of choosing a yellow marble is less than the probability of choosing a blue marble.
To compare the probabilities, we need to know the number of yellow and blue marbles in the bag. According to the information given, there are 2 yellow marbles and 1 blue marble. Since there are more yellow marbles than blue marbles, the probability of choosing a yellow marble is greater than the probability of choosing a blue marble. Therefore, this statement is false.
<•> The probability of choosing a green marble is 0.25.
In order to calculate the probability, we need to know the number of green marbles and the total number of marbles. Given that there are 5 green marbles out of 20 total marbles, the probability of choosing a green marble would be 5/20, which simplifies to 1/4 or 0.25. So, this statement is true.
<•> The probability of choosing a black marble is zero.
There is no mention of black marbles in the bag. Since there are none, the probability of choosing a black marble is indeed zero. Therefore, this statement is true.
So, to summarize, the statements that are true 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.
I hope this helps! Let me know if you have any further questions.