Question

One letter tile is selected and the spinner is spun. What is the probability that both will be avowel?P (vowel) Tile:P (vowel) Spinner:Multiply fractions - probability that both will be a vowel

Answer 1

SOLUTION:

Step 1:

To find the probability of picking a vowel from G, B, E and A.

A and E are the vowels here,

$P\text{ (vowel) Tile : }\frac{2}{4}\text{ = }\frac{1}{2}$

Step 2:

To find the probability that the spinner showed a vowel from A, B and C.

A is the only vowel here,

$P\text{ (vowel) Spinner: }\frac{1}{3}$

Step 3:

To find the probability that both will be a vowel:

$\begin{gathered} P\text{ (vowel) Tile X P (vowel) spinner} \\ \frac{1}{2}\text{ x }\frac{1}{3} \\ \\ \frac{1}{6} \end{gathered}$

CONCLUSION:

The probability that both will be a vowel is 1/6