What is the probability of rolling an odd number and spinning "B," given the sample space below?

1 2 3 4 5 6
A A1 A2 A3 A4 A5 A6
B B1 B2 B3 B4 B5 B6
C C1 C2 C3 C4 C5 C6
D D1 D2 D3 D4 D5 D6

1/2
1/6
1/8
1/12

1 answer

There are 18 possible outcomes in the sample space (6 numbers and 3 letters per number), and there are 9 outcomes that are odd numbers and "B": B1, B3, B5, A5B, C5B, and D1B, D3B, D5B, D7B (assuming A, C, and D represent odd numbers). Therefore, the probability of rolling an odd number and spinning "B" is 9/18, which simplifies to 1/2.

Therefore, the answer is 1/2.
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