Collin has a fair coin and a fair 10-sided number cube labeled 1-10. He performs this experiment 150 times to determine the experimental probability that heads is tossed and the number 2 is rolled. Which of the following is most likely to be the experimental probability that Collin determined?
A) 3/7 B)1/3 C) 3/40 D) 2/37
I think heads is 1/2 and i think 2 is 1/10. if you multiply them you get 1/20...times 150=7 1/2.
how do i get the correct answer? because 7 1/2 is wrong.
Why are your repeating your post after it has been answered previously ?
As both MathMate and I stated, the theoretical probability of your event is 1/20.
Since you are using experimental probability, the choice that comes closest to 1/20 would be it.
Theoretical Prob = 1/20 = .05
your choices:
3/7 = .42.. , way off!
1/3 = .333.. , no good
3/40 = .075 , a bit too much
2/37 = .054 , that could be it
I'm sorry. I thought my answer choices didn't appear, so I re-entered the question with the choices listed. I thought I was helping by being more clear. Thank you for your help, albeit persnickety.
To get the correct answer, you need to calculate the experimental probability by dividing the number of times the desired outcome occurred by the total number of experiments.
In this case, Collin performed the experiment 150 times to determine the probability of getting heads and rolling a 2. Let's break down the calculation step by step:
1. Find the number of times heads and 2 occurred together: Since each event (flipping the coin and rolling the number cube) is independent, you can multiply the probabilities of each event occurring. The probability of getting heads is 1/2, and the probability of rolling a 2 is 1/10. Multiplying these probabilities will give you 1/20.
2. Calculate the number of times heads and 2 occurred together over 150 trials: Multiply 1/20 by 150. This gives you 150/20, which simplifies to 7.5.
So, the correct experimental probability found by Collin is 7.5/150. However, this is not one of the answer choices presented. To find the closest answer choice, you need to simplify the fraction.
Dividing both the numerator and denominator by 7.5, you get 1/20. Now you can simplify this fraction further. Since the numerator (1) and denominator (20) share no common factors other than 1, the fraction 1/20 is already fully simplified.
Therefore, the answer choice that is closest to the experimental probability determined by Collin is C) 3/40.