hallinquestkaly4557 hallinquestkaly4557
  • 24-02-2021
  • Mathematics
contestada

If a seed is planted, it has a 95% chance of growing into a healthy plant. If 7 seeds are planted, what is the probability that exactly 2 don't grow

Respuesta :

janmilczek
janmilczek janmilczek
  • 24-02-2021

Answer:

[tex]\frac{51998079}{1280000000}[/tex] or around 0.0406

Step-by-step explanation:

We need to choose 2 seeds that will not grow - there's

7 * 6 / 2 = 21 possibilities (choose one, chose second one, divide by 2 because each choice was counted twice).

The probability of each of those possibilities happening is:

[tex](5\%)^2 * (95\%)^5 = \frac{2476099}{1280000000}[/tex]

because two need to fail to grow and the rest need to grow properly.

The full probability is

[tex]\frac{51998079}{1280000000}[/tex]

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