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Question 2 (1 point) Saved A survey found that 83% of Canadians have a smartphone, 39% of Canadians have a tablet and 28% of Canadians have both. What is the probability that a randomly selected Canadian has a smartphone or a tablet? 94% 55% 122% 67%

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Answer & Explanation
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94%. Your answer is correct. 

Step-by-step explanation

First, we define the following events:

S = event that Canadians have a smartphone

T = event that Canadians have a tablet

 

Given are the following probabilities:

P(S)=83%P(T)=39%P(ST)=28% (In probabilistic terms, the term 'and' refers to an intersection of events or ∩.)

 

Now we have to find the probability that a randomly selected Canadian has a smartphone or a tablet. We write it in symbols as

P(ST)=? (In probabilistic terms, the term 'or' refers to a union of events or ∪.)

 

Using the general probability addition rule for the union of two events which is given by the formula

P(AB)=P(A)+P(B)P(AB)

we have

 

P(ST)=P(S)+P(T)P(ST)

P(ST)=83%+39%28%

P(ST)=94%

 

I hope this helps!