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\"No amount of experimentation can ever prove me right; a single experiment can

ID: 3071679 • Letter: #

Question

"No amount of experimentation can ever prove me right; a single experiment can prove me wrong".-Albert Einstein For example, in a clinical trial of a new drug, the null hypothesis might be that the new drug is no better than the current drug. We would write something ike this for a null hypothesis (Ho): There is no therapeutic difference between Clearozan and Zootostere Scientists give special consideration to the null hypothesis. This is due to the fact that the null hypothesis directly relates to the statement being tested, whereas a alternative hypothesis relates to the statement to be accepted only if /when the null hypothesis is rejected. ny As you can see, scientists depend heavily on logic. Below is a little "game that iMustrates the value of logic. Red White White White Red Red Each box contains two flowers. One box has one red and one second box contains two red flowers and a third box contains two white flowers The labels indicate the flower combinations in the boxes. However, all of the white flower. A labels are incorrect. Your job is to correctly switch the labels so that they match up with the flowers in the boxes.

Explanation / Answer

In this game we have 3 Red flowers and 3 White flowers. There are three combinations of flowers as "Red, Red", "White, White", "Red White".

Given there are three boxes with incorrect names for flower cominations as "Red, Red" , "White, White", "Red, White". We need to arrange box names correct with respect to correct flowers in box.

Box WW

Given opened "Red, Red" box named as incorrectly. If Red, Red combination is incorrect then there will be two possible combinations will be combination with correct flowers Red and White or White, White.

In opened box if we get Red, White flowers then we can not guess the correct combination in other two boxes. There can be possible combination White, White or Red, Red. flowers. So after getting Red, White we can not guess exact boxes for remaining two boxes.

in opened box if we get White, White flowers then we can not guess the correct combinations in other two boxes. There can be possible combination Red, White flowers or Red, Red flowers. So after getting White, White we can not guess for remaining two boxes.

Now looking at the one box flowers, we can not guess the second and third box flowers. But if we know two flowers from one box and one flower from another box then we can guess correct names of all three boxes.

So when we open Red, Red box and it do not have Red, Red combination flower. There will be possible solution as

There will be Red, White flower in opened box. if we know that another box has one white flower. It is definite that box has White, White flowers. and remaining third box will have Red, Red flowers.

Boxes Incorrect combination 1st correct combination 2nd correct combination Box RR Red, Red Red, White White, White

Box WW

White, White White, White Red , White Box RW Red, White Red, Red Red, Red