Given that the box contains 46 red marbles, 58 white marbles, and 51 blue marbles, you know that the total number of marbles the box contains is:
[tex]46+58+51=155[/tex]In this case, let be A the event in which the randomly selected marble from the box is white, and B the event in which the randomly selected marble from the box is blue.
Since those events are independent, you can set up that the probability of randomly selecting a white marble or blue marble from the box is:
[tex]P(A\text{ }or\text{ }B)=P(A)+P(B)[/tex]Knowing that there are 58 white marbles, you can determine that:
[tex]P(A)=\frac{58}{155}[/tex]And knowing that there are 51 blue marbles, you can determine that:
[tex]P(B)=\frac{51}{155}[/tex]Therefore:
[tex]P(A\text{ }or\text{ }B)=\frac{58}{155}+\frac{51}{155}[/tex][tex]P(A\text{ }or\text{ }B)=\frac{109}{155}[/tex]Hence, the answer is:
[tex]P(A\text{ }or\text{ }B)=\frac{109}{155}[/tex]