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jolli1 [7]
3 years ago
9

You roll a fair number cube. Find each probability:

Mathematics
1 answer:
avanturin [10]3 years ago
7 0

Answer:

P(2, then 2)  = \frac{1}{36}

P(3, then 5) = \frac{1}{36}

P(4, then odd) = \frac{1}{12}

Step-by-step explanation:

Given: A fair number cube is rolled

To find: P(2, then 2) , P(3, then 5) , P(4, then odd)

Solution:

Probability refers to chances of occurrence of some event.

Probability = Number of favourable outcomes/Total number of outcomes

Sample space = \left \{ 1,2,3,4,5,6 \right \}

Total number of outcomes = 6

P(2, then 2)  = P(2)P(2) = \frac{1}{6}(\frac{1}{6})=\frac{1}{36}

P(3, then 5) = P(3)P(5) = \frac{1}{6}(\frac{1}{6})=\frac{1}{36}

Odd numbers out of the sample space = \left \{ 1,3,5 \right \}

P(4, then odd) = P(4)P(odd) = (\frac{1}{6})(\frac{3}{6} )=\frac{1}{12}

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