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1. a) Two letters are selected at random from the word "ANGLE" without replacement.

i. Draw a tree diagram for the experiment.

ii. Find the probability that the two letters are:
- Both vowels
- Both consonants
- Either a vowel or a consonant
- At least one consonant

Sagot :

GinnyAnswer

Final answer:

The answer explains how to find the probabilities for selecting vowels, consonants, and combinations of both from the given word 'ANGLE' using a tree diagram and calculation formulas.


Explanation:

Tree Diagram:

  • Vowels: A, E
  • Consonants: N, G, L

Probability of:

  1. Both vowels: 2/5 1/4 = 1/10
  2. Both consonants: 3/5 2/4 = 3/10
  3. Either a vowel or a consonant: 1 - P(neither vowel nor consonant)
  4. At least a consonant: 1 - P(both vowels)

Learn more about Probability and Letter Selection here:

https://brainly.com/question/32588046


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