Mr. Bauer Placed the letters in the word basketball into a bag what is the probability of choosing a B not replacing it and then choosing a vowel

Respuesta :

Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The word basketball has 10 letters.

  • b is one of them, hence P(A) = 1/10 = 0.1.
  • Then, of the 9 letters, 3 will be vowels, hence P(B|A) = 3/9 = 1/3 = 0.3333.

Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:

[tex]P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287