Please explain to me how to figure out the answers to these questions because I got them all wrong.
Don't worry there's only 2..
1.You roll a number cube 20 times. The number 4 is rolled 8 times. What is the experimental probability of rolling a 4?
It's either
A. 40%
B. 25%
C. 20%
Or D. 17%
2. A bag of fruit contains 4 apples, 1 plum, 2 apricots, and 3 oranges. Pieces of fruit are drawn twice with replacment. What is P(apple, then apricot)?
A. 4/5
B. 2/25
C. 3/25
D. 3/
experimantal=results/tries=8/20
Pr(appl, apricot)=Pr(appl)*pr(apricot)
= 4/10 * 2/10
To solve the first question, you need to determine the experimental probability of rolling a 4. The experimental probability is found by dividing the number of times the desired outcome occurs by the total number of trials. In this case, the desired outcome is rolling a 4, and the total number of trials is 20.
1. Calculate the experimental probability:
Experimental probability = (Number of desired outcomes) / (Total number of trials)
Experimental probability = 8 / 20
2. Simplify the fraction:
Experimental probability = 2 / 5
Now, let's look at the answer choices:
A. 40%: This is the same as 4/10, which is not equal to 2/5.
B. 25%: This is the same as 1/4, which is not equal to 2/5.
C. 20%: This is the same as 1/5, which is not equal to 2/5.
D. 17%: This is less than 2/5.
Therefore, the correct answer is A. 40%.
Let's move on to the second question and determine the probability of drawing an apple, and then an apricot, from the bag of fruit:
1. Calculate the probability of drawing an apple:
Probability of drawing an apple = (Number of apples) / (Total number of fruit)
Probability of drawing an apple = 4 / (4 + 1 + 2 + 3)
2. Calculate the probability of drawing an apricot:
Probability of drawing an apricot = (Number of apricots) / (Total number of fruit)
Probability of drawing an apricot = 2 / (4 + 1 + 2 + 3)
3. Multiply the probabilities:
Probability of apple, then apricot = (Probability of drawing an apple) * (Probability of drawing an apricot)
Let's compare the result to the answer choices:
A. 4/5: This is not the result we calculated.
B. 2/25: This is not the result we calculated.
C. 3/25: This is the same as the result we calculated.
D. 3/: There seems to be an incomplete answer here.
Therefore, the correct answer is C. 3/25.