Answer: ![\dfrac{2}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B9%7D)
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
![P_1=\dfrac{2}{6}](https://tex.z-dn.net/?f=P_1%3D%5Cdfrac%7B2%7D%7B6%7D)
The number greater than 2 in a cube are 3,4,5,6
So, probability corresponding to it
![P_2=\dfrac{4}{6}](https://tex.z-dn.net/?f=P_2%3D%5Cdfrac%7B4%7D%7B6%7D)
So, the required probability is
![\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}](https://tex.z-dn.net/?f=%5CRightarrow%20P%3DP_1%5Ctimes%20P_2%5C%5C%5CRightarrow%20P%3D%5Cdfrac%7B2%7D%7B6%7D%5Ctimes%20%5Cdfrac%7B4%7D%7B6%7D%5C%5C%5C%5C%5CRightarrow%20P%3D%5Cdfrac%7B8%7D%7B36%7D%5C%5C%5C%5C%5CRightarrow%20P%3D%5Cdfrac%7B2%7D%7B9%7D)