The law of large numbers states that as the number of trials of an experiment increases, the experimental probability of an event occurring approaches the theoretical probability of the event occurring. jake received a "magic" coin from his uncle. he flipped it 100 times, and found that it came up heads 64% of the time. he flipped it another 500 times, and it came up heads 57% of the time. he then flipped it 1000 times, and it came up heads 58% of the time. then, he flipped it 1500 times, and it came up heads 62% of the time. based on the law of large numbers, what do you think the theoretical probability of the magic coin coming up heads is? explain how you could test your hypothesis.

 Explained.

Step-by-step explanation: We are familiar with the theory of probability and the Law of 'Large Numbers'.

According to this law, if same experiment is repeated a large number of times, then the average of the experimental results in each trial shoul be very close to the theoretical probability.

When Jake flipped the magic coin 100 times, the probability of getting hesd was 0.64.

When he flipped 500 times, the probability of getting head was 0.57.

When he flipped 1000 times, the probability of getting head was 0.58

and when he flipped 1500 times, the probability was 0.62.

Also, the theoretical probability of the magic coin coming up head is

Therefore, we see that as the number of experiments increases, the value becomes closer to the theoretical value which is 0.5.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.