Answer: [tex]\dfrac{2}{9}[/tex]
Step-by-step explanation:
Given
The spinner has 6 equal sections A, B, C, D, E, and F
The two events occurred one after the other. So, the probability is the product of the probabilities of each event.
There are two consonants in the given 6 letter
The probability of landing over a consonant is
[tex]P_1=\dfrac{2}{6}[/tex]
The number greater than 2 in a cube are 3,4,5,6
So, probability corresponding to it
[tex]P_2=\dfrac{4}{6}[/tex]
So, the required probability is
[tex]\Rightarrow P=P_1\times P_2\\\Rightarrow P=\dfrac{2}{6}\times \dfrac{4}{6}\\\\\Rightarrow P=\dfrac{8}{36}\\\\\Rightarrow P=\dfrac{2}{9}[/tex]