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Question

It is estimated within a group of people that 80% people have health insurance, 90% people have tea in the morning, and 60% people exercise regularly. Using the simulator that generates random three-digit numbers using digits from 0 through 9, work out the probability that the person chosen has health insurance, drinks tea in the morning, and exercises everyday.
Note: The ones place of a three-digit number and 1 through 6 represents people doing regular exercise.
The tens place of the three-digit number and 1 through 9 represents people who drink tea.
The hundreds place of the three-digit number and 1 through 8 represents people having health insurance.

Simulator:

842 242 075 572 711 632 874 576 641 884
833 415 871 381 335 984 652 495 663 426
415 323 904 784 947 546 236 316 565 631
693 696 726 714 226 265 815 835 235 051
654 814 895 824 424 425 152 531 078 998


A
96%
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B
60%
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C
84%
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D
86%
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Solution

The correct option is D 86%
Ones place of a three-digit number represents people who exercise everyday.

Since there is a 60% chance of people exercising, let 1 through 6 represent a person who exercises everyday.

The tens place of the three-digit number represents people drinking tea in the morning.
Since there is a 90% chance of a person drinking tea, let 1 through 9 represent people drinking tea.

The hundreds place of the three-digit number represents people having credit cards.
Since there is an 80% chance of a person having a credit card, let 1 through 8 represent people having credit card.

From the simulation, we see that 43 out of 50 people have credit cards, drink tea in the morning, and also exercise everyday.
Estimated probability =4350×100=86%

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