Question

a bag contains letter tiles. There are 6 vowels in the bag and 14 consonants. On michaels next turn, he will select a letter tile at random from the bag. determine if each of the following probabilities is true or false- P(vowel then vowel) = 3/38 - P( vowel then consonant) = 21/95 - P(consonant then consonant)= 49/100

Answer 1

Vowels + Consonants= 6+14= 20

P (vowel)= 6/20

P (consonant) = 14/20

Then

P (vowel then vowel) = (6/20)•(5/19) = 30/380. ITS TRUE

P (Vowel then consonant)= (6/20)•(14/19)= 84/380 = 21/95. ITS TRUE

P (Consonant then consonant)= (14/20)•(13/19) = 182/ 380. ITS FALSE