ExplanationA probability of 0.42 is the same as 42% or \(\frac{42}{100}\). The probability of two events occurring is the product of each individual event occurring:

\(\frac{E}{100} \times \frac{F}{100} = \frac{42}{100}\)

Can we make E greater than 58/100? Let's try to make a true math statement when E = 0.90:

\(\frac{90}{100} \times \frac{F}{100} = \frac{42}{100}\)

\(90F = 42\) and \(F = 0.467\).

Sure! If there is a 90% chance of probability that E will occur, there is a 47% chance F will occur.

Can we make E less than 58/100?

\(\frac{50}{100} \times \frac{F}{100} = \frac{42}{100}\)

\(50F = 42\) → \(F = 0.84\)

If there is a 50% chance of probability that E will occur, there is a 84% chance that F will occur.

Since we can make E both greater than and less than 0.42, it is impossible to determine the relationship on this question.

Hence option D is correct.
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Sandy

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