A probability experiment is conducted in which the sample space of the experimen

Question

A probability experiment is conducted in which the sample space of the experiment is S (1,2,3,4,5,6, 7.8,9, 10. 11, 12), event F (6, T), and event G (10, 11, 12). Assume that each outcome is equally lisely. List the outcomes in F or G Find PF or G) by countirgthe number of outcomes in F or G. Determne POF or G) using the general addison rule. List the outcomes in F or G Choose the correct answer below. . ForGr(1, 2, 3, 4, 5, 6, 7. 8, 9, 10, 11, 12) C. ForGr(10, 11, 12) D. F or G-(6,7,10, 11, 12 Find P(F or G) by counting the number of outcomes in F or G P(F or G)- (Type an inbeger or a simplified fraction.) PIF or a)- P(F or G)-Type an integer or a simpifed fraction.) Determine P(F or G) using the general addition rule.

Explanation / Answer

Option D: F or G = {6, 7, 10, 11, 12}

P(F or G) = 5/12 = 0.4167. (since, the number of outcomes is 5 out of 12)

P(F or G) = P(F) + P(G) - P(F and G) = P(F) + P(G) = 2/12 + 3/12 = 5/12 = 0.4167. (since, P(F and G) = 0, as F and G have no common elements)

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