A six-sided number cube is rolled 30 times and lands on 3 ten times and on 5 eight times. Calculate the theoretical AND experimental probabilities of landing on a 3. Write your answer in the simplest form of a fraction
The theoretical probability of rolling a 3 on a six-sided number cube is 1/6, since there are 6 equally likely outcomes.
To calculate the experimental probability, we divide the number of times a 3 was rolled by the total number of rolls: 10/30 = 1/3.
Therefore, the simplest form of a fraction for the experimental probability of landing on a 3 is 1/3.
What about the theoretical probability?
The theoretical probability of rolling a 3 on a six-sided number cube is 1/6.
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Suppose the probability of selecting a supermarket shopper who prefers plastic bags instead of paper bags is 50%. Out of 150 shoppers, how many can you expect will prefer plastic bags?
(1 point)
Out of 150 shoppers, we can expect that 50% of them will prefer plastic bags. To calculate the number of shoppers who prefer plastic bags, we can multiply the total number of shoppers by the probability of selecting a shopper who prefers plastic bags:
150 shoppers * 50% = 150 * 0.5 = 75 shoppers
Therefore, we can expect that 75 out of the 150 shoppers will prefer plastic bags.
A spinner has 8 equally sized sections labeled as A, B, C, D, E, F, G, H. In 160 spins, how many times can you expect to spin and land on a consonant? (1 point)
To find the expected number of spins that will land on a consonant, first, we need to determine how many of the sections are consonants. In this case, the consonants in the sections are B, C, D, F, and G, which makes a total of 5 consonants.
The probability of spinning and landing on a consonant is the number of consonants divided by the total number of sections on the spinner:
Probability of spinning a consonant = 5 (number of consonant sections) / 8 (total number of sections) = 5/8
To find the expected number of spins landing on a consonant in 160 spins, simply multiply the total number of spins by the probability of spinning a consonant:
Expected number of spins landing on a consonant = 160 spins * 5/8 = 100
Therefore, in 160 spins, you can expect to land on a consonant approximately 100 times.