Answered

If you flip a coin and roll a
6
66-sided die, what is the probability that you will flip a heads and roll an even number?

Answer :

Answer:

The probability for getting a head and an even number is 0.25.

Step-by-step explanation:

Let, (H -Head  And T = Tail )

S be the sample space of the event =  { (H,1) ,(H,2) ,(H,3) ,(H,4) ,(H,5) ,(H,6) ,(T,1) ,(T,2) ,(T,3) ,(T,4) ,(T,5) ,(T,6) }  

∴ n(S) = 12

Let A be the event getting a head and an even number when a coin is tossed and a six sided dice is rolled

A ={(H,2) ,(H,4),(H,6) }

∴ n(A) = 3

∴ [tex]P(A) = \frac{n(A)}{n(S)}\\P(A) = \frac{3}{12}\\ P(A) = 0.25[/tex]

The probability for getting a head and an even number is 0.25.

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