Question

Karen has a bag of 24 letter tiles. some are vows, and some are consonants. he randomly chooses a letter towel and places it back in the back. he chose 4 vows and 2 continents. how many vows are likely in the bag?

Answer 1

2/3 of the 24 tiles are likely to be vowels in the bag

If Karen has a bag containing 24 letter tiles, where 4 are vowels and 2 are consonants, and she randomly selects one letter tile, places it back in the bag, and repeats this process, the number of vowels likely to be in the bag can be estimated through probability.

Each time Karen selects a tile, there is a 4/24 probability of selecting a vowel since there are 4 vowels out of 24 tiles in the bag.

For 4 selections (with replacement), the expected number of vowels selected can be calculated as:

Expected number of vowels = 4/24 × 4

Multiply the values

Expected number of vowels = 16/24 = 2/3