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?
Out of the 8 sections, A, E, and I are vowels. This leaves us with 5 consonants: B, C, D, F, and G.
The probability of spinning a consonant on any given spin is therefore 5/8. To find the expected number of times we will spin a consonant in 160 spins, we simply multiply the probability of spinning a consonant by the number of spins:
Expected number of spins on a consonant = (5/8) x 160 = 100
Therefore, we can expect to spin a consonant 100 times in 160 spins.
To find out how many times you can expect to spin on a consonant in 160 spins, we first need to determine the number of consonants on the spinner.
Out of the 8 sections on the spinner, the consonants are: B, C, D, F, G, and H. That is a total of 6 consonants.
Now we can calculate the expected number of spins on a consonant using the formula:
Expected number of spins on a consonant = Total number of spins × Probability of spinning a consonant
Since there are 160 spins and 6 consonants, the probability of spinning a consonant on any given spin is 6/8 or 3/4.
Expected number of spins on a consonant = 160 × 3/4 = 120.
Therefore, you can expect to spin on a consonant approximately 120 times in 160 spins.