Alec attended his town's annual Worm Charming Competition. Contestants are assigned to a square foot of land, where they have 30 minutes to "charm" worms to the surface of the dirt using a single technique. Alec observed contestants' charming techniques, and kept track of how many worms surfaced.Tapping the ground Raking the ground5-10 worms 6 511-20 worms 5 821-30 worms 10 4What is the probability that a randomly selected contestant charmed 11-20 worms or 5-10 worms?Simplify any fractions.Submit
Question
Alec attended his town's annual Worm Charming Competition. Contestants are assigned to a square foot of land, where they have 30 minutes to "charm" worms to the surface of the dirt using a single technique. Alec observed contestants' charming techniques, and kept track of how many worms surfaced.Tapping the ground Raking the ground5-10 worms 6 511-20 worms 5 821-30 worms 10 4What is the probability that a randomly selected contestant charmed 11-20 worms or 5-10 worms?Simplify any fractions.Submit
Solution
To solve this problem, we first need to find the total number of contestants. We do this by adding up all the contestants in each category:
Tapping the ground: 5 (for 5-10 worms) + 5 (for 11-20 worms) + 10 (for 21-30 worms) = 20 contestants Raking the ground: 6 (for 5-10 worms) + 8 (for 11-20 worms) + 4 (for 21-30 worms) = 18 contestants
So, the total number of contestants is 20 (tapping) + 18 (raking) = 38 contestants.
Next, we need to find the number of contestants who charmed either 5-10 worms or 11-20 worms.
For 5-10 worms: 5 (tapping) + 6 (raking) = 11 contestants For 11-20 worms: 5 (tapping) + 8 (raking) = 13 contestants
So, the total number of contestants who charmed either 5-10 worms or 11-20 worms is 11 (for 5-10 worms) + 13 (for 11-20 worms) = 24 contestants.
Finally, we can find the probability by dividing the number of successful outcomes (charming either 5-10 worms or 11-20 worms) by the total number of outcomes (total number of contestants).
So, the probability is 24 (successful outcomes) / 38 (total outcomes) = 12/19.
Therefore, the probability that a randomly selected contestant charmed 11-20 worms or 5-10 worms is 12/19.
Similar Questions
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