A package of daisy seeds claims that the probability that each seed in the package sprouts under optimal conditions is 55%. Suppose you plant two daisy seeds under optimal conditions. Which is greater, the probability that both seeds sprout, or the probability that neither seed will sprout?

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Answer:

Step-by-step explanation:

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Using the principle of independent probability, the cajbves that both seeds will sprout ls greater.

  • The probability that seed sprouts = 55%

The probability they two seed sprout :

  • P(two sprout) = p(seed 1 sprout) × p(seed 2 sprout)

P(2 sprout) = 0.55 × 0.55 = 0.3025

The probability that neither seed will sprout :

  • P(neither sprout) = (1 - p(seed 1 sprout)) × (1 - p(seed 2 sprout))

P(neither sprout) = (1 - 0.55) × (1 - 0.55) = 0.45 × 0.45) = 0.2025

Therefore, the chances that both will sprout ls greater.

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