The experiment involved tossing three coins simultaneously. the experiment was carried out 100 times, and it was noted that three heads occurred 40 times. what is the difference between the experimental probability of getting three head and its theoretical probability? write the answer I the simplest form of fraction.
The theoretical probability of getting three heads when tossing three coins simultaneously is (1/2)^3 = 1/8.
The experimental probability is (number of times three heads occurred) / (total number of trials) = 40/100 = 2/5.
The difference between the experimental probability and theoretical probability is 2/5 - 1/8 = 16/40 - 5/40 = 11/40.
Therefore, the difference between the experimental probability of getting three heads and its theoretical probability is 11/40.
An experiment involves picking a card from the number cards 2, 4, 6, 10. in equation form. what is the probability model for this experiment?
f(x)= (_), where x= 2, 4, 6, 10
fill in the empty box
The probability model for this experiment can be represented as:
f(x) = 1/4, where x = 2, 4, 6, 10
This is because there are a total of 4 number cards (2, 4, 6, 10) and each card has an equal probability of being picked, so the probability of picking any specific card is 1/4.
A spinner has 8 equally sized sections labelled as
A, B, C, D, E, F, G, H. in 160 spins, how many times can you expect to spin on a consonant?
In this case, the consonants on the spinner are B, C, D, F, G, and H. There are 6 consonants out of the total of 8 sections on the spinner.
The probability of spinning on a consonant is the number of consonants divided by the total number of sections:
Probability of spinning on a consonant = 6/8 = 3/4
To find the expected number of spins on a consonant in 160 spins, we multiply the probability of spinning on a consonant by the total number of spins:
Expected number of spins on a consonant = (3/4) * 160 = 120
Therefore, you can expect to spin on a consonant 120 times out of 160 spins.
A single coin is tossed 300 times. Heads were observed 180 times. what is the long-run relative frequency of tails? express the answer in decimal form
The long-run relative frequency of tails can be calculated by subtracting the relative frequency of heads from 1, since the only outcomes of a single coin toss are heads and tails.
Relative frequency of heads = (number of heads observed) / (total number of tosses) = 180/300 = 0.6
Relative frequency of tails = 1 - 0.6 = 0.4
Therefore, the long-run relative frequency of tails is 0.4 or 40%.
an experiment involves picking a card from a selection of cards numbered 5, 10, and 25. In an equation form, what is the probability model for this experiment? list the values of x in ascending order.
F(x)= (_), where x= (_), (_), (_)
The probability model for this experiment can be represented as:
f(x) = 1/3, where x = 5, 10, 25
This is because there are a total of 3 cards (5, 10, 25) and each card has an equal probability of being picked, so the probability of picking any specific card is 1/3.
Therefore, the values of x in ascending order are:
x = 5, 10, 25
And the probability model is:
f(x) = 1/3, where x = 5, 10, 25.