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4 Jon has a packet of daisy seeds. Half of the seeds will produce pink daisies, and
half will produce white daisies. He chooses two seeds at random and plants them.
What is the probability of producing one white daisy and one pink daisy? Show
your work.



Answer :

GinnyAnswer
I'm happy to help with that!

To find the probability of producing one white daisy and one pink daisy, we can break it down into two scenarios:

1. Jon picks a white daisy seed first and then a pink daisy seed.
2. Jon picks a pink daisy seed first and then a white daisy seed.

Let's calculate the probabilities for each scenario:

1. Probability of picking a white daisy seed first:
- Probability = (Number of white daisy seeds / Total number of seeds)
- Since half of the seeds are white daisy seeds, the probability = 0.5

2. Probability of picking a pink daisy seed second:
- After picking a white daisy seed, there is 1 white daisy seed left and half of the total seeds are pink daisy seeds.
- Probability = (Number of pink daisy seeds / Total number of remaining seeds)
- Probability = (0.5 / 1.5) = 1/3

Now, we calculate the total probability by considering both scenarios where the order of picking doesn't matter:
Total probability = Probability of scenario 1 + Probability of scenario 2
Total probability = (0.5 1/3) + (0.5 1/3) = 1/3

Therefore, the probability of producing one white daisy and one pink daisy when choosing two seeds at random is 1/3.

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