The numbers 1 through 5 are recorded on individual slips of paper and placed in a hat. What is the probability of drawing the 3, not replacing it, and then drawing the 4?

Respuesta :

The correct answer is 1/20.

The overall probability of drawing the number 3, not replacing it, and then drawing the number 4 is  [tex]\frac{1}{20}[/tex].

What is the probability?

Probability is the chance of happening an event or incident.

Given, numbers 1 to 5 are written on slips and placed in a hat.

One slip is drawn at first.

The probability of getting number 3 is P(A) = [tex]\frac{1}{5}[/tex].

Now, another slip is drawn.

The probability of getting number 4 without replacement is P(B) = [tex]\frac{1}{4}[/tex].

Therefore, the overall probability of drawing the number 3, not replacing it, and then drawing the number 4 is:

P(O) = P(A) × P(B) =  [tex]\frac{1}{5}[/tex] ×  [tex]\frac{1}{4}[/tex] =  [tex]\frac{1}{20}[/tex].

Learn more about probability here:

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