identify the sample space of the probability experiment and determine the number of outcomes in the sample…

identify the sample space of the probability experiment and determine the number of outcomes in the sample space. draw a tree diagram. determining a persons letter grade (a, b, c, d, f) and gender (male (m), female (f)) identify the sample space. d a am, af, aa, bm, bf, ba, cm, cf, ca, dm, df, da b am, af, bm, bf, cm, cf, dm, df, fm, ff c am, af, aa, bm, bf, ba, cm, cf, ca d am, af, bm, bf, cm, cf, dm, df there are 8 outcomes in the sample space. choose the correct tree - diagram below

identify the sample space of the probability experiment and determine the number of outcomes in the sample space. draw a tree diagram. determining a persons letter grade (a, b, c, d, f) and gender (male (m), female (f)) identify the sample space. d a am, af, aa, bm, bf, ba, cm, cf, ca, dm, df, da b am, af, bm, bf, cm, cf, dm, df, fm, ff c am, af, aa, bm, bf, ba, cm, cf, ca d am, af, bm, bf, cm, cf, dm, df there are 8 outcomes in the sample space. choose the correct tree - diagram below

Answer

Explanation:

Step1: List possible grade - gender combinations

The letter grades are A, B, C, D, F and genders are M (male) and F (female). The sample - space is formed by pairing each grade with each gender. The sample - space is {AM, AF, BM, BF, CM, CF, DM, DF, FM, FF}. But since we are only considering grades A, B, C, D, the sample - space is {AM, AF, BM, BF, CM, CF, DM, DF}.

Step2: Count number of outcomes

Count the number of elements in the sample - space {AM, AF, BM, BF, CM, CF, DM, DF}. There are 8 elements.

Step3: Analyze tree - diagram

The correct tree - diagram should have 4 branches for grades A, B, C, D at the first level and 2 branches (M and F) for each of the grade branches at the second level. Option A has the correct tree - diagram structure.

Answer:

Sample space: D. {AM, AF, BM, BF, CM, CF, DM, DF} Number of outcomes: 8 Tree - diagram: A