Question

It is estimated that $60\%$ of kids like milkshakes and $70\%$ of kids like to go to the park to play. Using a simulator that generates random two-digit numbers using the digits 0 through 9, estimate the probability that a random kid will not like milkshakes and does not like to go to the park to play.
Note: The ones place of a two-digit number and 1 through 6 represents kids who like milkshakes.
The tens place of the two-digit number and 1 through 7 represents kids liking to go to the park to play.

26	32	64	08	66	11	76	01	79	67
22	61	87	72	53	49	59	81	68	19
94	78	38	56	42	77	19	48	20	05
02	80	85	82	54	43	69	12	21	91
76	46	98	14	40	45	56	64	97	92

• A. $8\%$
• B. $12\%$
• C. $6\%$
• D. $15\%$

Answer 1

The correct option is A $8\%$

The ones place of a two-digit number represents kids liking milkshakes.

Since there is a $60\%$ chance of a kid liking milkshakes, let 1 through 6 represent a kid liking milkshakes.
Therefore 7, 8 , 9, and 0 represents a kid not liking milkshakes.

The tens place of the two-digit number represents a kid’s liking to go to a park.
Since there is a $70\%$ chance of a kid liking to go to a park, let 1 through 7 represent the liking to go to a park to play.
Therefore 8, 9, and 0 represents a kid not liking to go to a park to play.

From the simulation, we see that 4 out of 50 kids do not like milkshakes nor do they like to go to a park to play.

Estimated probability $=\frac{4}{50}\times 100=8\%$