Julia is playing a board game with a spinner that has 6 equally-sized segments: 2 1 3 6 4 5 If she spins a “6” then she gets to move forward 6 spaces and spin again. Then, if she spins a “2”, she wins. Assume that the outcome of one spin doesn't affect the outcome of future spins. а What is the probability that Julia spins a “6” followed by a “2”? Round your answer to two decimal places.

Respuesta :

Using it's concept, it is found that there is a 0.0278 = 2.78% probability that Julia spins a “6” followed by a “2”.

What is a probability?

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

In this problem:

  • There are 6 equally spaced segments, one of which represents 6, hence the probability that Julia spins a “6” is [tex]P(A) = \frac{1}{6}[/tex].
  • The trials are independent, hence the probability that she spins a “2” is [tex]P(B) = \frac{1}{6}[/tex].

The probability of both events is given by:

[tex]p = P(A)P(B) = \frac{1}{6} \times \frac{1}{6} = \frac{1}{36} = 0.0278[/tex]

0.0278 = 2.78% probability that Julia spins a “6” followed by a “2”.

More can be learned about probabilities at https://brainly.com/question/15536019