Question

Find the probability of spinning a number followed by a letter

Answer 1

Answer:

Answer is first option $\dfrac{2}{9}.$

Step-by-step 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: $P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$\Rightarrow P(A) = \dfrac{8}{12}\\ \Rightarrow P(A) = \dfrac{2}{3}$

Similarly

$P(B) = \dfrac{4}{12}\\\Rightarrow P(B) = \dfrac{1}{3}$

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.

$\Rightarrow P(A)\times P(B)\\\Rightarrow \dfrac{2}{3} \times \dfrac{1}{3}\\\Rightarrow \dfrac{2}{9}$

So, answer is first option $\dfrac{2}{9}$.