Question

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/10 for white, 1/15 for pink, 1/20 for green, and 1/5 for red. What is the probability of pulling a red or green card, written as a reduced fraction?

Answer 1

The probability of pulling a red or green card, written as a reduced fraction is 1/4

How to determine the probability of pulling a red or green card, written as a reduced fraction?

From the question, we have the following probabilities:

P(White) = 1/10

P(Pink) = 1/5

P(Green) = 1/20

P(Red) = 1/5

The probability of pulling a red or green card, written as a reduced fraction is the calculated as:

P(Red or Green card) = P(Red card) + P(Green card)

Substitute the known values in the above equation

P(Red or Green card) = 1/5 + 1/20

Express 1/5 as 4/20

P(Red or Green card) = 4/20 + 1/20

Take the LCM

P(Red or Green card) = (4+1)/20

Evaluate the sum

P(Red or Green card) = 5/20

Simplify the fraction

P(Red or Green card) = 1/4

Hence, the probability of pulling a red or green card, written as a reduced fraction is 1/4

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