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o-na [289]
2 years ago
8

Tyler selects one card from the three(4,5, and a King), and rolls a number cube. What is the probability that she selects the 5,

and rolls a number less than 5?
Mathematics
1 answer:
Svet_ta [14]2 years ago
6 0

\frac{1}{3}Answer:

2/9

Step-by-step explanation:

given that Tyler selects one card from the three(4,5, and a King), and rolls a number cube.

We find that A the event of selecting one card and B getting a number on rolling a number cube are independent events.

No of cards = 3

Prob of selecting 5 from 3 cards = P(1,2,3, or 4) = \frac{2}{3}

When rolling a number cube (assuming fair) there is equally likely for all numbers to appear from 1 to 6

Prob of getting 5 =\frac{1}{6}

Prob of getting less than 5 =

Since these two events are independent,

the probability that she selects the 5, and rolls a number less than 5

= Product of probabilities

= \frac{1}{3}*\frac{2}{3}

=\frac{2}{9}

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