The spinner has 8 sections labeled A, B, C, D, E, F, G, H. The consonants in this set are B, C, D, F, G, and H.
Out of the 8 letters:
- A and E are vowels (2 letters)
- B, C, D, F, G, and H are consonants (6 letters)
To find the expected number of times a consonant will be landed on in 160 spins, we first find the probability of landing on a consonant, which is:
\[ \text{Probability of a consonant} = \frac{\text{Number of consonants}}{\text{Total sections}} = \frac{6}{8} = \frac{3}{4} \]
Now, we can multiply this probability by the total number of spins to find the expected number of spins on a consonant:
\[ \text{Expected spins on consonants} = \frac{3}{4} \times 160 \]
Calculating that gives:
\[ \text{Expected spins on consonants} = 120 \]
Thus, you can expect to spin on a consonant 120 times.