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.

Question

Mathematics

Arnav Figueroa

5 December, 06:08

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.

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Deborah Waller · Answer 1

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