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irinina [24]
3 years ago
10

If two dice are thrown whats si the probability that they will add to 9?A2/36B3/36C3/36D4/36

Mathematics
1 answer:
GuDViN [60]3 years ago
5 0

Answer:

D.\frac{4}{36}

Step-by-step explanation:

Solution,

Two dice are thrown.

So we have to find out the total number of outcomes.

(1,1),\ (1,2),\ (1,3),\ (1,4),\ (1,5),\ (1,6)

(2,1),\ (2,2),\ (2,3),\ (2,4),\ (2,5),\ (2,6)

(3,1),\ (3,2),\ (3,3),\ (3,4),\ (3,5),\ (3,6)

(4,1),\ (4,2),\ (4,3),\ (4,4),\ (4,5),\ (4,6)

(5,1),\ (5,2),\ (5,3),\ (5,4),\ (5,5),\ (5,6)

(6,1),\ (6,2),\ (6,3),\ (6,4),\ (6,5),\ (6,6)

The total number of outcomes = 36

We have to find out the probability of outcomes that add up to 9.

So, Possible outcomes are;

<u>(3,6),\ (4,5),\ (5,4),\ (6,3)</u>

The total number of possible outcomes = 4

Now, according to the formula of probability,

P(E)=\frac{Total\ number\ of\ Possible\ outcomes}{Total\ Number\ of\ outcomes}

P(of\ add\ up\ to\ 9)=\frac{4}{36}

Hence the correct option is D)4/36.

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