Question

Five urns are numbered 3,4,5,6 and 7, respectively. Inside each urn, there are n² dollars where n is the number on the urn.

Answer 1

Answer:

0.25 or 25%

Step-by-step explanation:

3, 5 and 7 are prime numbers.

There are two possible outcomes for which the experimenter ends up with exactly twenty-five dollars:

A) Choosing urn 5 (5 x 5 = 25).

$P(A) = \frac{1}{5}$

B) Choosing urn 4 and then urn 3 ([4 x 4] + [3 x 3] = 25).

$P(B)= \frac{1}{5} *\frac{1}{4}=\frac{1}{20}$

The probability that the experimenter ends up with exactly $25 is:

$P(x=\ 25)=P(A)+P(B)= \frac{1}{5}+\frac{1}{20}\\P(x=\ 25)=0.25=25\%$