An amusement park reports that the probability of a visitor riding its largest roller coaster is 30 percent, the probability of a visitor riding its smallest roller coaster is 20 percent, and the probability of a visitor riding both roller coasters is 15 percent.

Which equation can be used to calculate the probability of a visitor riding the largest or the smallest roller coaster?

P(largest or smallest) = 0.30 - 0.20
P(largest or smallest) = 0.30 + 0.15 - 0.20
P(largest or smallest) = 0.30 + 0.20 - 0.15
P(largest or smallest) = 0.30 + 0.20

The probability of a visitor riding the largest or the smallest roller coaster will be 0.35. As probability is defined as the chances of occurrence of an event from the sample variables.

What is probability?

Probability is defined as the chances of occurrence of an event from the sample variables.

Since we have given that

Probability of a visitor riding its largest roller coaster=P(L) = 30%

Probability of a visitor riding its smallest roller coaster =P(S)= 20%

Probability of a visitor riding its both roller coasters =P(L and S)= 15%

According to the formula, we get

[tex]\rm P(LUS)=P(L)+P(S)-P(L\capS)[/tex]

[tex]\rm P(LUS)=0.30+0.20-0.15[/tex]

[tex]\rm P(LUS)=0.50-0.15[/tex]

[tex]\rm P(LUS)=0.35[/tex]

Hence the probability of a visitor riding the largest or the smallest roller coaster will be 0.35

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