Question

the probability that it will rain tomorrow is 0.7 what is the probability that it will not rain tomorrow

Answer 1

The probability that it will not rain tomorrow is 0.3

Given:

The probability that it will rain tomorrow is 0.7

To find:

The probability that it will not rain tomorrow

Solution:

Ler E be the event that it will rain tomorrow

Here, P(E) is the probability that it will rain tomorrow

Then P(E') is the probability that it will not rain tomorrow

The events P(E) and P(E') are two complementary events which are opposite to each other  

In a random experiment, the sum of two complementary events will be equal to 1

⇒ P(E) + P(E') = 1

From given data,

The probability that it will rain tomorrow P(E) = 0.7

Here we need to find P(E'), the probability that it will not rain tomorrow

As we know that P(E) + P(E') = 1  

⇒  0.7 + P(E') = 1

⇒  P(E') = 1 - 0.7  

⇒  P(E') = 0.3

The probability that it will not rain tomorrow =  0.3

#SPJ2

Answer 2

Answer:

The answer to the given question is the probability that it will not rain tomorrow is 0.3

Step-by-step explanation:

Given :

the probability that it will rain tomorrow is 0.7.

To find :

the probability that it will not rain tomorrow

Solution :

Let A be the event that it will rain tomorrow and

P(A)be the probability that it will rain tomorrow.

P(A) be the probability that it will not rain tomorrow.

Events A and A' are two complementary events that are opposite to each other.

As we know that the probability is always 1.

In a random experiment, the sum of two complementary events will always be 1.

P(A)+P(A')=1.

As we stated that the probability that it will rain and it will not rain tomorrow is

$0.7 + x = 1$

let P(A') be x.

$x = 1 - 0.7 \\ x = 0.3$

The final value obtained is 0.3.

Therefore, the probability that it will not rain tomorrow is 0.3

#spj5

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