Question

Alison has 6 yellow discs, 5 blue discs and 9 red discs which
she places in a bag. When she draws one disc out, what is the
probability that the disc is NOT red?

Answer 1

The probability that the disc drawn out is not red is 11/20 or 0.55.

What do we mean by the Probability of an event?

The Probability of an event is the fraction used to determine how likely is an event to occur. The formula used is:

The Probability of an event = Number of favorable outcomes/Total number of outcomes.

How do we solve the given question?

We are informed that Alison has 6 yellow discs, 5 blue discs, and 9 red discs. These discs are placed in a bag and one disc is drawn out at random. We are asked what is the probability that the disc is not red.

We know that the total probability of any event = 1.

Suppose the Probability that the disc drawn out is red = x.

∴ The probability that the disc drawn out is not red = 1 - x.

So, we calculate the Probability that the disc drawn out is red,

P(disc drawn is red) = Number of red discs/Total discs = 9/20

∴ The probability that the disc drawn out is not red

= 1 - P(disc drawn is red) = 1 - 9/20 = 11/20

∴ The probability that the disc drawn out is not red is 11/20 or 0.55.

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