The student council for a school of science and math has one representative from each of the five academic departments: biology (B), chemistry (C), mathematics (M), physics (P), and statistics (S). Two of these students are to be randomly selected for a university-wide student committee. The two students will be selected by placing five slips of paper (numbered 1, 2, 3, 4, and 5) into a bowl, mixing, and drawing out two of them. Required:
a. What are the 10 possible outcomes (simple events)?
b. From the description of the selection process, all outcomes are equally likely. What is the probability of each simple event?
c. What is the probability that one of the committee members is the statistics department representative?
d. What is the probability that both committee members come from laboratory science departments?

Step-by-step explanation:

10mm = 1cm, 100cm = 1m, 1000m = 1km

 (2.5cm 1 inch, 30cm 1 foot, 1.6km 1 mile) 5 miles = 8 km

 1000 milligrams (mg) = 1 gram (g)

 1000g = 1kg 1000kg = 1 tonne

 1000ml or 1000cm³ = 1L (litre)

 (4.5 litres 1 gallon)

 30 days have September, April, June and November, all the rest have 31,

except for February alone, which has 28 days clear, but 29 in each leap

year

 2020 is a LEAP YEAR and the next one will be in four years time: 2024

and then 2028, 2032, 2036 etc

 60 seconds = 1 minute,

 60 minutes = 1 hour,

 24 hours = 1 day,

 7 days = 1 week,

 2 weeks = fortnight,

 4 weeks is approximately one month

 one year =365 days (366 leap year)

 or 52 weeks or 12 months

 10 years = decade

 100 years = century

 1,000 years = a millennium

 £1 = 100 x 1p or 50 x 2p or 2 x 50p or 5 x 20p or 20 x 5p or 10 x 10p

 The first 12 square numbers are: 1,4,9,16,25,36,49,64,81,100,121 and

144

 The first ten prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

2 is the only even prime number. Note that 1 is not a prime number.

 The first five cube numbers are: 1, 8, 27, 64 and 125