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)

__ times

1 answer

The letters on the spinner are A, B, C, D, E, F, G, H. Among these, the consonants are B, C, D, F, G, and H.

Counting the consonants:

  • B
  • C
  • D
  • F
  • G
  • H

There are 6 consonants out of a total of 8 sections. The probability of landing on a consonant in a single spin is:

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

Now, if we spin the spinner 160 times, we can expect to land on a consonant:

\[ \text{Expected number of consonants} = \text{Total spins} \times \text{Probability of consonant} = 160 \times \frac{3}{4} \]

Calculating this:

\[ 160 \times \frac{3}{4} = 160 \times 0.75 = 120 \]

Thus, we can expect to spin on a consonant 120 times.

So, the answer is:

120 times