A spinner is divided into two equal parts, one red and one blue. The set of possible outcomes when the spinner is spun twice is cap s is equal to RR, RB, BR, BB Let cap x represent the number of times blue occurs. Which of the following is the probability distribution, cap p sub cap x times x ?
Answer
A
Table with 2 columns and 4 rows.Row 1: Column 1, 'cap x'; Column 2, 'cap p sub cap x times x' Row 2: Column 1, '0'; Column 2, '0 point 3 3' Row 3: Column 1, '1'; Column 2, '0 point 3 3' Row 4: Column 1, '2'; Column 2, '0 point 3 3'
B
Table with 2 columns and 4 rows.Row 1: Column 1, 'cap x'; Column 2, 'cap p sub cap x times x' Row 2: Column 1, '0'; Column 2, '0 point 5' Row 3: Column 1, '1'; Column 2, '0 point 5' Row 4: Column 1, '2'; Column 2, '0'
C
Table with 2 columns and 4 rows.Row 1: Column 1, 'cap x'; Column 2, 'cap p sub cap x times x' Row 2: Column 1, '0'; Column 2, '0 point 2 5' Row 3: Column 1, '1'; Column 2, '0 point 5' Row 4: Column 1, '2'; Column 2, '0 point 2 5'
D
Table with 2 columns and 4 rows.Row 1: Column 1, 'cap x'; Column 2, 'cap p sub cap x times x' Row 2: Column 1, '0'; Column 2, '0' Row 3: Column 1, '1'; Column 2, '0 point 5' Row 4: Column 1, '2'; Column 2, '0 point 5'
Explanation
The four equally likely outcomes are RR, RB, BR, and BB. Blue occurs 0 times in RR, 1 time in RB and BR, and 2 times in BB. Thus the probabilities for x = 0, 1, and 2 are 1/4, 2/4, and 1/4, or 0.25, 0.5, and 0.25. This matches choice B.
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