1. Teesha is in the French club. There are 31 students in the club. The French teacher will pick two students at random to guide visiting students from France. What is the probability that Teesha will be picked as a guide? Hint: Teesha must be picked first or second.
Teesa can be paired with 30 other students...so...she can appear in 30 possible sets
The total possible sets = C(31, 2) = 465
So...the probabilty that she is picked is 30 / 465 = 2/31
2. What is the probability of rolling a sum of 5 on at least one of two rolls of a pair of number cubes?
A. 1/81 B. 25/1296 C. 2/9 D. 17/81
This equals to
1 - probability of no 5s on either roll
There 4 ways to roll a 5 on one roll....and there are 36 possible outcomes...so 32 of them are not a sum of 5
So...the probability is :
1 - (32/36)(32/36) =
1 - (32/36)^2 =
17 / 81