A box contains 77 red marbles, 6 white marbles, and 94 blue marbles. If a marble is randomly selected from the box, what is the probability that it is red or white? Express your answer as a simplified fraction or a decimal rounded four decimal places.

Respuesta :

Given:

A box contains 77 red marbles, 6 white marbles, and 94 blue marbles.

Required:

We need to find the probability to select a marble that is red or white.

Explanation:

Let A be the event that selects a red or white marble.

The total number of marbles in the box = 77+6+94 =177 marbles.

The possible outcomes = the total number of marbles = 177 marbles.

[tex]n(S)=177[/tex]

The favorable outcomes = The number of red marbles + the number of white marbles =77 + 6 = 83marbles.

[tex]n(A)=83[/tex]

The probability of selecting a red or white marble.

[tex]P(A)=\frac{n(A)}{n(S)}=\frac{83}{177}[/tex]

Final answer:

The probability of selecting a red or white marble is 83/177.