You spin the spinner twice.123456What is the probability of landing on an odd number and then landing on a number less than 2?Write your answer as a decimal rounded to the nearest thousandth.
Question
You spin the spinner twice.123456What is the probability of landing on an odd number and then landing on a number less than 2?Write your answer as a decimal rounded to the nearest thousandth.
Solution
The spinner has 6 numbers, 3 of which are odd (1, 3, 5). So, the probability of landing on an odd number is 3 out of 6, or 0.5.
The spinner also has 6 numbers, only 1 of which is less than 2 (that's 1). So, the probability of landing on a number less than 2 is 1 out of 6, or approximately 0.167.
Since these are independent events, we multiply the probabilities together to find the overall probability. So, 0.5 * 0.167 = 0.0835.
Therefore, the probability of landing on an odd number and then landing on a number less than 2 is approximately 0.083, when rounded to the nearest thousandth.
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