Question

The angle measures 42°, 50°, 130°, and 138° are written on slips of paper. You choose two slips of paper at random.

What is the probability that the angle measures are supplementary? Enter your answer as a fraction.

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Answer 1

Answer:

• 1/3

Step-by-step explanation:

Combination of pairs of paper slips:

• 4C2 = 4!/(2*2) = 6

A pair of 50 with 130 and 42 with 138 are the two pairs of supplementary angles.

The probability is:

• P(supplementary pair) = 2/6 = 1/3

Answer 2

Step-by-step explanation:

• slips=2
• Angles=4

Apply combination

• 4C_2
• 4!/((4-2)!2!)
• 4!/2!2!
• 24/4
• 6

P(supplementary)

• 2/6
• 1/3
• 33.33%