Question

A probability experiment is conducted in which the sample space of the experiment is S={7,8,9,10,11,12,13,14,15,16,17,18}, event F={7,8,9,10,11,12}, and event G={11,12,13,14}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.

Answer 1

Answer:

F or G = {7,8,9,10,11,12,13,14}

n(F or G) = 8

n(S) = 12

By counting the no. of outcome

P(F or G) = n(F or G) / n(S)

P(F or G) = 8 /12

P(F or G) = 2/3

By using the general addition rule

P(F or G) = P(F) + P(G) - P(F and G)

= 6/12 + 4/12 - 2/12

= 2/3

Answer 2

• The outcome in F or G is n(S) = 12.

• P(F or G) by counting the number of outcomes in F or G is P(F or G) = 2/3.
• P(F or G) using the general addition rule is 2/3.

Probability

The probability exists simply how likely something is to happen. Whenever we're uncertain about the outcome of an event, talk about the probabilities of certain outcomes—how likely they exist. The analysis of events controlled by probability is named statistics.

Given,

S={7,8,9,10,11,12,13,14,15,16,17,18}

F={7,8,9,10,11,12}

G={11,12,13,14}

To find,

• List the outcomes in F or G.
• Find P(F or G) by counting the number of outcomes in F or G.
• Determine P(F or G) using the general addition rule.

F or G = {7,8,9,10,11,12,13,14}

            n(F or G) = 8

           n(S) = 12.

By counting the no. of outcome

• P(F or G) = n(F or G) / n(S)

        P(F or G) = 8 /12

       P(F or G) = 2/3.

By using the general addition rule

• P(F or G) = P(F) + P(G) - P(F and G)

       = 6/12 + 4/12 - 2/12

      = 2/3.

To learn more about Probability refer to:

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