Question

A probability experiment is conducted in which three coins are tossed for each trial, and the number of coins that turn up heads is recorded. After 50 trials, the results show that 2 of the 2 coins turned up Heads 11 times.

a) Determine the experimental probability that exactly 2 heads will appear when 3 coins are tossed.

b) Determine the theoretical probability that exactly 2 heads will appear when 3 coins are tossed.

c) Explain why the experimental and theoretical probabilities are different.

d) How could you modify the experiment so that the experimental probability b

Answer 1

please i need help

Answer 2

a) To find the experimental probability that exactly two heads appear:

We know that exactly 2 heads appeared 11 times in the 50 trials - so the experimental probability that 2 heads will appear is 11/50.

Answer 3

thnx

Answer 4

b) the theoretical probability that exactly 2 heads will appear when 3 coins are tossed:

these are the possible ways we could get two heads when we toss 3 coins: HHT, HTH, THH - so there's 3 ways to get two heads.

The total number of possible outcomes is: 2x2x2 = 8, since on each coin, we have two possible outcomes.

So we divide the number of possible outcomes for 2 heads, by the total number of possible outcomes: 3/8

Answer 5

thnx for helping me

Answer 6

do you want help ?

Answer 7

yes pleas

Answer 8

ok one mominute

Answer 9

you have a typo in your question

Answer 10

ya

Answer 11

looking for c & d

Answer 12

theres a typo here, please correct it
A probability experiment is conducted in which three coins are tossed for each trial, and the number of coins that turn up heads is recorded. After 50 trials, the results show that 2 of the 2 coins turned up Heads 11 times.

Answer 13

it should say , after 50 trials, the results show 2 of the *3* coins turned up heads 11 times

Answer 14

u mean the quetion

Answer 15

correct, there is a typo in the question

Answer 16

ya it' the same

Answer 17

c) Explain why the experimental and theoretical probabilities are different.

Why do you think they're different? The theoretical probability only tells you what is likely to happen, not necessarily what will happen...

Answer 18

c) the reason why experimental and theoretical is different is because of chance anything can happen every time you actually do the experiment, tossing three coins and count number of heads. But we do know in the long run, the experimental probability will be close to the theoretical probability

Answer 19

d) How could you modify the experiment so that the experimental probability becomes closer to the actual probability?

If you do more trials, you'd expect the experimental probability to get closer to the theoretical probability. Rather than doing 50 trials (tossing the coins 50 times), increase the number of trials to 100, or 200, or 500...

Answer 20

to use a simpler example, the theoretical probability of flipping 1 coin to get heads is 1/2, but you can flip a coin a 1000 times and keep getting tails consecutively , that is why its called a random variable . but by the law of large numbers, eventually we expect the proportion of heads to total will be close to .5

Answer 21

its called a random variable because anything can happen when you do the experiment (since there is chance) . but in the long run , the proportion of successes to the total is close to the theoretical probability

Answer 22

so d) by doing more trials, the experimental proportion will get close to the 'true' probability

Answer 23

unfortunately, this does not tell you how many trials you should do until you get fairly close to 3/8

Answer 24

thnx so much guys