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?(1 point)

1 answer

The letters on the spinner consist of the following:

  • A (vowel)
  • B (consonant)
  • C (consonant)
  • D (consonant)
  • E (vowel)
  • F (consonant)
  • G (consonant)
  • H (consonant)

From this, we can identify that the consonants are B, C, D, F, G, and H, which totals to 6 consonants.

Since there are 8 equally sized sections, the probability of landing on a consonant in one spin is:

\[ \text{Probability of consonant} = \frac{\text{Number of consonants}}{\text{Total sections}} = \frac{6}{8} = \frac{3}{4} \]

To find the expected number of spins on a consonant after 160 spins, we multiply this probability by the total number of spins:

\[ \text{Expected spins on consonants} = 160 \times \frac{3}{4} = 120 \]

Therefore, you can expect to spin on a consonant approximately 120 times in 160 spins.