Acompany that manufactures smartphones makes 70% of the phones with a touch screen and 55% of the phones with hd movie capability. 30% of the phones have both a touch screen and hd movie capability. what is the probability that a smartphone chosen at random has either a touch screen or hd movie capability?

Option: A is the correct answer.

Step-by-step explanation:

A company manufactures 70% touch screen phones.

55% have HD capability.

and 30% have both touch screen and HD capability.

Let A denote the touch screen phones.

B denote the HD capability.

C denote the both touch and HD capability.

Now we are asked to find the probability that a smartphone chosen at random has either a touch screen or HD movie capability:

i.e.. we have to find P(A∪B)

we know that:

P(A∪B)=P(A)+P(B)-P(A∩B)

Hence,

Hence, option: A is correct.

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step-by-step explanation:

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