Answer:
The probability that each student will have a chair to their needs is P=0.6698.
Step-by-step explanation:
If 20 % of all students are left handed (LHS) and the class size is 20, there will be 4 left handed students and 16 right handed or ambidextrous (RHS). Then there are 5 left handed chairs (LHC) and 18 right handed (RHC), so there are 23 chairs. Now, you have to estimate the proportion for LHS, RHS, LHC and RHC.
P(LHS) = 4/20 ⇒ 0.2.
P(RHS) = 16/20 = 0.8.
P(LHC) = 5/23 = 0.217.
P(RHC) = 18/23 = 0.783.
Then to find the probability that each student will have a chair to their needs, we have to multiply P(LHS)xP(LHC) and P(RHS)xP(RHC) and sum.
⇒P(LHS)xP(LHC) + P(RHS)xP(RHC) = (0.2 x 0.217) + (0.8 x 0.783)
⇒ P(LHS)xP(LHC) + P(RHS)xP(RHC) = 0.6698.
Summarizing, the probability that each student will have a chair to their needs, is 0.6698.
