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A study on the impact of soil and climate on the quality of wine produced in Spain was published in The Journal of Wine Research (Vol. 21, 2010).The investigation focused on the soil at two vineyards, Llarga and Solar.The wine produced from grapes grown in each of the two vineyardswas evaluated for each of three different years (growing seasons) by a wine-tasting panel. The panel (as a whole) decided on the wine with the highest quality based on the tasting tests.

For the result apply the formula of combination.$=23=6$

So, six distinct wines from two vineyards were assessed by the panel.

The probability the value of combination is 6 and there are 3 panels for Llarge wine then the probability is $\frac{3}{6}=0.5$.

So, there is a 0.5 percent chance that the panel chose a Llarga wine as the best wine.

The probability the value of combination is 6 in past three years and there are 2 combinationsthen the probability is $\frac{2}{6}=0.3$.

Therefore, there is a 0.3 chance that the panel would choose a wine made in year 3 as the wine with the highest quality.

The require formula is

$\begin{array}{rcl}P\text{(four individual tasters)}& =& P{\text{(Llarge wine)}}^4\\ & =& {\text{(}0.5\text{)}}^4=0.063\\ & & \end{array}$

Hence, the likelihood that each of the four tasters picked a Llarga wine as the best wine is 0.063.