A spinner has 8 equally sized sections labeled as A,B,C,D,EF,G,H IN 160 spins how many time can you expect to spin on aconconant?
There are 5 consonants out of 8 sections. The probability of landing on a consonant in one spin is therefore 5/8.
Expected number of spins on a consonant = (probability of landing on a consonant) x (total number of spins)
Expected number of spins on a consonant = (5/8) x 160
Expected number of spins on a consonant = 100
Therefore, you can expect to spin on a consonant 100 times in 160 spins.
To find the expected number of times you can expect to spin on a consonant in 160 spins, we first need to determine the probability of landing on a consonant in a single spin.
Out of the 8 equally sized sections on the spinner, A, E, and I are vowels, while B, C, D, F, G, and H are consonants. Therefore, there are 6 consonant sections out of the total 8 sections.
The probability of landing on a consonant in a single spin is therefore 6/8, which simplifies to 3/4, or 0.75.
To find the expected number of times you can expect to spin on a consonant in 160 spins, multiply the probability by the number of spins:
0.75 * 160 = 120
Therefore, you can expect to spin on a consonant approximately 120 times in 160 spins.