A letter is chosen at random from the letters of word MATCH.Find the p...
Problem: A letter is chosen at random from the letters of word MATCH. Find the probability that the letter chosen is a vowel?
Solution:
Step 1: Identify the possible outcomes
The word MATCH has 5 letters: M, A, T, C, and H. The possible outcomes are therefore the letters M, A, T, C, and H.
Step 2: Identify the favorable outcomes
A vowel is a letter that represents a speech sound made with the vocal tract open. The vowels in the word MATCH are A. Therefore, the favorable outcome is only A.
Step 3: Calculate the probability
The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes. Therefore, the probability of selecting a vowel from the word MATCH can be calculated as follows:
P(vowel in word MATCH) = Number of favorable outcomes / Total number of possible outcomes
P(A in word MATCH) = 1/5
Therefore, the probability of selecting a vowel from the word MATCH is 1/5 or 0.20.
Conclusion: The probability of selecting a vowel from the word MATCH is 0.20.
A letter is chosen at random from the letters of word MATCH.Find the p...
Step-by-step explanation:
1) Vowels in MATCH is A
2) No. of favourable events is 1
3) p(E)=favourable event
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total event
4) p(getting vowel)=1/5
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