The probability that Carrie will NOT be picked as a guide can be calculated by determining the probability of her not being picked for one of the spots, and then not being picked for the other spot.
The probability of Carrie not being picked for the first spot is 35/37, as there are 35 students other than her out of a total of 37.
Since the second pick is independent of the first, the probability of Carrie not being picked for the second spot is also 35/37.
Multiplying these probabilities together gives: (35/37) * (35/37) = 1225/1369.
Therefore, the probability that Carrie will NOT be picked as a guide is 1225/1369, which is equivalent to approximately 0.896 or 89.6%.
The closest answer choice is B) 35/37.
Carrie is in the Spanish club. There are 37 students in the club. The Spanish teacher will pick two students at random to guide visiting students from Spain. What is the probability that Carrie will NOT be picked as a guide?
A)1/36
B)35/37
C)36/37
D)2/37
1 answer