Question

Find the probability of spinning a number followed by a letter

Answer 1

Answer is first option
`(2)/(9).`

Explanation:

Let A be the event of spinning a number.

P(A) be the probability of spinning a number.

Here, total numbers in the game are 8.

Let B be the event of spinning a letter.

P(B) be the probability of spinning a letter.

Total number of letters is 4.

Total number of possibilities of a spin is 12.

Formula for probability of an event E can be observed as:
`P(E) = \frac{\text{Number of favorable cases}}{\text {Total number of cases}}`

`\Rightarrow P(A) = (8)/(12)\\ \Rightarrow P(A) = (2)/(3)`

Similarly

`P(B) = (4)/(12)\\\Rightarrow P(B) = (1)/(3)`

Here, events A and B are independent events and we have to find the probability of occurrence of both together. i.e. To find the probability of spinning a letter after a number.

Required probability can be achieved just by multiplying the probabilities of both the events.

`\Rightarrow P(A)* P(B)\\\Rightarrow (2)/(3) * (1)/(3)\\\Rightarrow (2)/(9)`

So, answer is first option
`(2)/(9)`.