First, let's identify the consonants among the letters A, B, C, D, E, F, G, H.
The letters are:
- Consonants: B, C, D, F, G, H
- Vowels: A, E
There are 6 consonants (B, C, D, F, G, H) out of a total of 8 sections on the spinner.
To find the expected number of times the spinner will land on a consonant in 160 spins, we can use the probability of landing on a consonant:
\[ \text{Probability of landing on a consonant} = \frac{\text{Number of consonants}}{\text{Total sections}} = \frac{6}{8} = \frac{3}{4} \]
Now, we can calculate the expected number of spins that will land on a consonant:
\[ \text{Expected number of consonant spins} = \text{Total spins} \times \text{Probability of consonant} = 160 \times \frac{3}{4} \]
Calculating that gives us:
\[ 160 \times \frac{3}{4} = 160 \times 0.75 = 120 \]
Therefore, you can expect to spin on a consonant 120 times in 160 spins.