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sattari [20]
3 years ago
14

Sofia places 26 tiles representing each letter of the alphabet into a bag. Five of the tiles represent the vowels A, E, I, O, an

d U. Sofia will randomly select 1 tile from the bag and without replacement select another tile from the bag. Sofia will draw two tiles from the bag 260 times. What is a reasonable prediction for the number of times Sofia will select a consonant tile and a vowel tile?
Mathematics
1 answer:
mars1129 [50]3 years ago
3 0

Answer:

42 times.

Step-by-step explanation:

The number of total alphabet = 26 tiles

The number of vowels = 5

The number of consonant = 26 - 5 = 21

Sofia will randomly select 1 tile from the bag and without replacement select another tile from the bag.

The probability to select consonant at first time = 21/26

Total tiles after the first selection = 26 - 1 = 25

The probability to select vowels at second time = 5/25

The probability to select consonant and vowels = \frac{21}{26} *\frac{5}{25} =\frac{21}{130}

Sofia will draw two tiles from the bag 260 times.

The prediction for the number of times Sofia will select a consonant tile and a vowel tile = \frac{21}{130} *260=42 \ times

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