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

Question

30-06-2024
Mathematics

Answered

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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 :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-06-30T02:13:09-04:00

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:

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

Learn more about Probability and Letter Selection here:

https://brainly.com/question/32588046

Sagot :

Final answer:

Explanation:

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