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A certain plant species can grow in 5 different types of soil. If a researcher t

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Question: A certain plant species can grow in 5 different types of soil. If a researcher tests 3 types of soil, what is the probability that the plant will grow in the tested soil?

Options:

  1. 1/5
  2. 3/5
  3. 1/3
  4. 2/5

Correct Answer: 3/5

Solution: 

The probability is the number of favorable outcomes (3) over the total outcomes (5), which is 3/5.

A certain plant species can grow in 5 different types of soil. If a researcher t

Practice Questions

Q1
A certain plant species can grow in 5 different types of soil. If a researcher tests 3 types of soil, what is the probability that the plant will grow in the tested soil?
  1. 1/5
  2. 3/5
  3. 1/3
  4. 2/5

Questions & Step-by-Step Solutions

A certain plant species can grow in 5 different types of soil. If a researcher tests 3 types of soil, what is the probability that the plant will grow in the tested soil?
  • Step 1: Identify the total number of soil types the plant can grow in. This is given as 5 types of soil.
  • Step 2: Identify the number of soil types that the researcher tests. This is given as 3 types of soil.
  • Step 3: Determine the number of favorable outcomes. In this case, the favorable outcomes are the 3 tested soil types.
  • Step 4: Write the probability formula. Probability is calculated as the number of favorable outcomes divided by the total outcomes.
  • Step 5: Plug in the numbers into the formula. This gives us 3 (favorable outcomes) divided by 5 (total outcomes).
  • Step 6: Simplify the fraction if necessary. Here, 3/5 is already in its simplest form.
  • Probability – The likelihood of an event occurring, calculated as the ratio of favorable outcomes to total possible outcomes.
  • Favorable Outcomes – The outcomes that are considered successful for the event in question, in this case, the types of soil where the plant can grow.
  • Total Outcomes – The total number of possible outcomes in the scenario, which includes all types of soil available for the plant.
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