Question

You spin the spinner at the right and without looking, you choose a tile from a set of tiles numbered from 1 to 10. Find each probability. P(spinner lands on 2 and choose a 3)​

Answer 1

To find the probability of the spinner landing on 2 and choosing a tile number 3, multiply the probability of each event. The probability of the spinner landing on 2 is 1/10, and the probability of choosing a tile numbered 3 is also 1/10. The resultant probability is 1/100 or 0.01.

Step-by-step explanation:

The question asks to find the probability of two independent events happening: the spinner landing on 2 and choosing a tile numbered 3. To calculate this probability, we will use the multiplication rule for independent events which states that P(A and B) = P(A) × P(B). Assuming the spinner has an equal chance of landing on any number, if the spinner has numbers 1-10, the probability of it landing on 2 is 1/10. Similarly, the probability of choosing a tile numbered 3 from a set of tiles numbered 1 to 10 is also 1/10. Therefore, the combined probability of both events happening is (1/10) × (1/10) = 1/100 or 0.01.