Mathematics

Problem

Two events

E

and

F

belong to the same random experiment. Their probabilities are given as

P(E)=\dfrac{18}{45}

and

P(F)=\dfrac{7}{15}

. a. (i) Reduce each probability to its simplest fractional form. b. (ii) Verify that the simplified values satisfy the fundamental range

0\le P \le 1

for any probability. c. (iii) Without converting the fractions to decimals, decide which of the two events is more likely to occur. Give a brief reason for your choice.

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