Question

A spinner has 6 equally divided sections labeled A, B, C, D, E and F. After spinning the spinner, a number cube is rolled. What is the probability that the spinner will land on a consonant and the number cube will land on a number greater than 2?

Answer 1

Answer:
`(2)/(9)`

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=(2)/(6)`

The number greater than 2 in a cube are 3,4,5,6

So, probability corresponding to it

`P_2=(4)/(6)`

So, the required probability is

`\Rightarrow P=P_1* P_2\\\Rightarrow P=(2)/(6)* (4)/(6)\\\\\Rightarrow P=(8)/(36)\\\\\Rightarrow P=(2)/(9)`