tmua 2019 Q12

tmua · Uk · paper2 1 marks Probability Definitions
Most students in a large college study Mathematics. A teacher chooses three different students at random, one after the other.
Consider these three probabilities:
$R = \mathrm { P }$ (At least one of the students chosen studies Mathematics)
$S = \mathrm { P }$ (The second student chosen studies Mathematics)
$T = \mathrm { P }$ (All three of the students chosen study Mathematics)
Which of the following is true?
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Most students in a large college study Mathematics. A teacher chooses three different students at random, one after the other.

Consider these three probabilities:

$R = \mathrm { P }$ (At least one of the students chosen studies Mathematics)

$S = \mathrm { P }$ (The second student chosen studies Mathematics)

$T = \mathrm { P }$ (All three of the students chosen study Mathematics)

Which of the following is true?