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Use da table 2 answer da question

Dis table shows da number of seeding for each plant type
( A , B , C, D, and E )

Plant types A B C D E
Number of seedlings 100 140 80 60 40

A farmer conducted an inventory on his 2 square kilometers of rainforest; da results r in da table. He plans randomly selecting a seeding 2 experiment on when he goes back 2 da forest. Wut is da probability dat he will randomly pick a type B plant? Write ur answer in da simplest form of a fraction

1 answer

To find the probability of randomly selecting a type B plant, we first need to determine the total number of seedlings and the number of type B seedlings.

From the table:

  • Number of type B seedlings = 140
  • Total number of seedlings = 100 (A) + 140 (B) + 80 (C) + 60 (D) + 40 (E) = 520

Now, the probability \( P \) of randomly selecting a type B plant can be calculated using the formula:

\[ P(\text{type B}) = \frac{\text{Number of type B seedlings}}{\text{Total number of seedlings}} = \frac{140}{520} \]

Next, we simplify the fraction \( \frac{140}{520} \):

  1. Find the greatest common divisor (GCD) of 140 and 520. The GCD is 20.
  2. Divide both the numerator and the denominator by 20:
    • \( \frac{140 \div 20}{520 \div 20} = \frac{7}{26} \)

Therefore, the probability of randomly picking a type B plant is

\[ \frac{7}{26} \]

in its simplest form.