# If p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.57; then p(a ∪ b) =

**Solution:**

It is given that

p(a) = 0.38

p(b) = 0.83

p(a ∩ b) = 0.57

We know that the formula to find the union of two sets is

p(a ∪ b) = p(a) + p(b) - p(a ∩ b)

Substituting the values

= 0.38 + 0.83 - 0.57

= 0.64

Therefore, p(a ∪ b) = 0.64.

## If p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.57; then p(a ∪ b) =

**Summary:**

If p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.57; then p(a ∪ b) = 0.64.

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