The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin. What is the probability of getting a number less than 3 and a tails?
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Answer:
[tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
Use the definition of probability:
[tex]P=\dfrac{\text{Number of favorable outcomes}}{\text{Number of all possible outcomes}}[/tex]
The table shows 12 possible outcoms (6 numbers for head and 6 numbers for tail), so
Number of all possible outcomes = 12
Getting a number less than 3 and a tail is possible when rolling 1 or 2 and flipping T (tail), so there are two favorable outcomes T! and T@.
Number of favorable outcomes = 2
[tex]P=\dfrac{2}{12}=\dfrac{1}{6}[/tex]