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If the probability of a student taking a yoga class is 0.70, the probability of taking a pilates class is 0.60, and the probability of taking a yoga class and a pilates class is 0.51, what is the probability of a student taking a yoga class or a pilates class?

Sagot :

Probabilities are used to determine the chances of an event.

The probability of a student taking a yoga class or a pilate class i 0.79

The given parameters are:

[tex]\mathbf{P(Yoga) = 0.70}[/tex]

[tex]\mathbf{P(Pilate) = 0.60}[/tex]

[tex]\mathbf{P(Yoga\ and\ Pilate) = 0.51}[/tex]

The probability of Yoga or Pilate is:

[tex]\mathbf{P(Yoga\ or\ Pilate) = P(Yoga) + P(Pilate) - P(Yoga\ and\ Pilate)}[/tex]

Substitute known values

[tex]\mathbf{P(Yoga\ or\ Pilate) = 0.70 + 0.60 - 0.51}[/tex]

[tex]\mathbf{P(Yoga\ or\ Pilate) = 0.79}[/tex]

Hence, the probability of a student taking a yoga class or a pilate class i 0.79

Read more about probabilities at:

https://brainly.com/question/11234923