Two water polo teams. Team X and Team Y, play a game against each

Question

https://gmatclub.com/forum/download/file.php?id=82223 Two water polo teams, Team X and Team Y, play a game against each other once at the end of each year. Because ties are not allowed, exactly one of the teams wins each of these games. For each of 20 weeks leading up to this year’s game, an analyst gave an estimated probability that Team X would win the game against Team Y, based on the two teams’ performances in other games during that period. The graph shows the analyst’s estimated probability for each week. Select from the drop-down menus the options that create the statements that most accurately reflect the information provided. The analyst estimated that Team X was more likely to win the game than Team Y for exactly GRAPH_1_PLACEHOLDER of the 20 weeks shown in the graph. Among the weeks shown in the graph, for the week that the analyst estimated Team X would have the least probability of winning the game, the analyst’s estimate for that week implies Team Y would have a GRAPH_2_PLACEHOLDER percent chance of winning the game, to the nearest 10 percent. https://gmatclub.com/forum/download/file_private.php?id=76714 GMAT-Club-Forum-wfsi2tzl.png

PavanV1 · Answer

For first question, you should count the number 'o' out of 20 as it represents the Team X probability i.e., 8.

For second question, Team X lowest probability is on Week 20 i.e., 30%. If Team X's probability is 30% then Team Y's probability would be (100-30) = 70%

hchiaki · Answer

Hi, for the question 2, did you mean Week 15 for the lowest probability? (30%) Also, for week 20, we can infer it's 55%. Just making sure! Thanks

sayan640 · Answer

BottomJee  ,  GMATinsight   chetan2u  , is there any notation missing in this question ? Or everything is in place for this question ?  Sajjad1994

sayan640 · Answer

You are right . It has to be week 15. But I am not sure about the notations.  KarishmaB

chetan2u · Answer

There are 20 ticks on x-axis, so each axis talks of 1 game. To avoid congesting the graph, they have marked every alterante tick 2,4,6 and so on. That is perfectly fine and nothing is missing here.

The graph could have had every 5th tick marked, tha tis 5, 10, 15 and 20

sayan640 · Answer

My concern was for y axis though. See for few y axis , the circles are totally dark..But for few there are white circles. 
There are 20 ticks on x-axis, so each axis talks of 1 game. To avoid congesting the graph, they have marked every alterante tick 2,4,6 and so on. That is perfectly fine and nothing is missing here.

The graph could have had every 5th tick marked, tha tis 5, 10, 15 and 20

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KarishmaB · Answer

The notations are fine in the question and I think in fact they make the calculations easier. X axis shows week 1, week 2 etc and each has a corresponding value on the Y axis of the probability of team X winning over team Y. So in week 1 there was a 67% probability that team X will win over Y, in week 2 it fell to about 62% etc. The analyst estimated that Team X was more likely to win the game than Team Y for exactly _______ of the 20 weeks shown in the graph. The 50% probability mark has a thick line separating the graph into two sections. The points above it (no fill circles but solid line) are different from the points below it (solid circles but dashed lines). So team X was more likely to win (probability more than 50%) for all points above this line. We have 8 such points. Among the weeks shown in the graph, for the week that the analyst estimated Team X would have the least probability of winning the game, the analyst’s estimate for that week implies Team Y would have a ____ percent chance of winning the game, to the nearest 10 percent. Team X has least probability in week 15 which is exactly at 30% point. So team Y has a 70% probability of winning at that time. ANSWER: 8, 70 GMAT-Club-Forum-zp83ga4d.png

callingTardis · Answer

there is no labelling given for the black solid dots versus the white empty dots, same for the black line vs the blue line
so its just to make our jobs easier to distinguish <50% and 50%< probabilities ?
because i was thrown off by why no label is provided for different colors.

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Two water polo teams. Team X and Team Y, play a game against each

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Two water polo teams. Team X and Team Y, play a game against each