Question

A coin is tossed, then a number from 1 to 10 is chosen at random. What is the probability of getting tails then a number greater than 8?

(A) 0.09932
(B) 0.1
(C) 0.2
(D) 0.3

Answer 1

The probability of getting tails and then a number greater than 8 from 1 to 10 is found by multiplying the probability of each independent event: 0.5 for tails and 0.2 for a number greater than 8, resulting in an answer of 0.1.

Step-by-step explanation:

The probability of getting tails and then a number greater than 8 when a coin is tossed and a number from 1 to 10 is chosen can be calculated by multiplying the probabilities of the two independent events.

Firstly, the probability of getting tails on a coin toss is ½ (or 0.5), because there are 2 possible outcomes (heads or tails) and we want one of them.

Then, for selecting a number greater than 8 from numbers 1 to 10, we have numbers 9 and 10 which are favorable outcomes. So, the probability here is 2 out of 10, or ⅔ (which is 0.2).

Therefore, the combined probability of both events happening is calculated as (0.5) × (0.2) = 0.1.

Thus, the correct answer is (B) 0.1.