Ask Question
4 October, 01:26

If a seed is planted, it has a 75% chance of growing into a healthy plant.

If 6 seeds are planted, what is the probability that exactly 1 doesn't grow?

+4
Answers (1)
  1. 4 October, 02:56
    0
    9.72405%

    Step-by-step explanation:

    Binomial Probability

    (N choose k) p^k (1-p) ^ (n-k)

    N=7 seeds planted

    p = 100% - 70% = 30% = 0.3 <-- - we are interested in the plant NOT growing

    (1-p) = 70% = 0.7 <-- - 70% chance the plant will survive and grow

    k=4 <-- - we want four of them to fail

    The probability is:

    (7 choose 4) * (0.3) ^4 (0.7) ^3 =

    7! / (4!3!) (0.3) ^4 (0.7) ^3 =

    (7*6*5/3*2) (0.3) ^4 (0.7) ^3 =

    7*5 (0.3) ^4 (0.7) ^3 =

    35 * 0.0081 * 0.343 = 0.0972405 = 9.72405%
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “If a seed is planted, it has a 75% chance of growing into a healthy plant. If 6 seeds are planted, what is the probability that exactly 1 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers