From a pack of seeds , the probability of a seed germinating is 3/5. If three seeds are picked at random find the probability that

a) all do not germinate
b) they all germinate
c) only 2 germinate
Solve a tree diagram if possible

1/5

Did you know?

Did you know that the probability of a seed germinating from a pack of seeds is 3/5? If three seeds are picked at random, we can find the probability of different outcomes. a) To find the probability that all three seeds do not germinate, we can multiply the probability of each seed not germinating: (2/5) x (2/5) x (2/5) = 8/125. b) If we want to find the probability that all three seeds germinate, we multiply the probability of each seed germinating: (3/5) x (3/5) x (3/5) = 27/125. c) To calculate the probability that only two seeds germinate, we need to consider the possible combinations. Let's denote a germinated seed with G and a non-germinated seed with N. The possible combinations are: GGG, GGN, GNG, NGG. Since each seed germinates with a probability of 3/5 and does not germinate with a probability of 2/5, we can calculate the probability for each combination and add them up: (3/5) x (3/5) x (2/5) + (3/5) x (2/5) x (3/5) + (2/5) x (3/5) x (3/5) + (2/5) x (2/5) x (3/5) = 54/125. It's also possible to solve this problem using a tree diagram, where each branch represents either a germinated (G) or non-germinated (N) seed. The probability of each outcome can be determined by multiplying the probabilities along the branches and adding up the probabilities for each desired outcome.