In a box, there are 6 red, 7 blue and 8 green balls. One ball is picked up randomly. The probability that the ball drawn is neither red nor blue is_____.

Let the probability of getting balls be x.
Then the probability of getting blue ball = 2x
As we know the sum of probability of all the possible outcomes is 1.
So, 2x + x  = 1

Let total number of probability be P.
The probability of getting red balls =
but as derived probability of getting red ball = x =
So, 
total number of outcome i.e. total no. balls is 15
so, no. blue balls = 15 - 5 =10.

Total no. of total outcome = 2+3+2=7
No. of possible outcome ( no. of red balls)= 2
Possibility=
So, probability of getting red ball is .

Total number outcomes = 36
[ (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)]
Possible outcomes = 3
Possibility = 
So, if the sum is 10 when two fair dice are tossed then the probability is 

A coin has one head and one tail.

Here, we have to find the probability of picking an alphabet from consonant of the English alphabet at random.
Total number of outcomes = Number of consonants = 21
Therefore, probability of picking an alphabet from consonant = 1/21
Hence, the correct option is (c).

Here, we are given a circular spinners with number written on it.
We have to find the probability of the spinner landing on 1.
Total number of outcomes = 8.
Number of favourable outcomes = Number of sections with 1 = 3
Probability that the spinner lands on 1 = 3/8
Hence, the correct option is (d).

Here, it is given that in a lottery, there are 10 prizes and 25 blanks. We have to find the probability of winning a prize.
Total number of outcomes = Number of prizes + Number of blanks
= 10 + 25
= 35
Number of favourable outcomes = Number of prizes = 10
Therefore, P ( getting a proze ) = 10/35
= 2/7
Hence, the correct option is (a).

Here, there are 3 red balls and 5 blue balls in a bag. We have to find the probability of getting a blue balls.
Total number of outcomes = Number of red balls + Number of blue balls
= 3 + 5
= 8
Number of favourable outcomes = Number of blue balls = 5
Therefore, P ( getting a blue ball) = 5/8
Hence, the correct option is (c).

Here, it is given that the probability of winning a game is 0.3.
We have to find the probability of losing the game.
We know, P(E) + P(not E) = 1
So, P(winning a game) +P(losing a game) = 1
Or, P(losing a game) = 1 - P(winning a game)
Or, P(losing a game) = 1 - 0.3
= 0.7
Hence, the correct option is (c).

Here, a coin is tossed thrice  are : (H, H, H) , ( H, H,T) , ( H, T, H) , ( T, H, H) , ( T, T, T) , ( T, T, H) , ( T, H, T) , ( H, T, T) .
Total number of outcomes = 8
Number of favourable outcome = Number of outcomes with 2 tails = 3
Therefore,  P ( getting head twice) = 3/8
Hence, the correct option is (b).

TO FIND-
Which of the given options can not be used to denote probability.
SOLUTION-
a. 10%
10% = 10/100 = 0.1
b. 10
c. 10 to the power of negative 10 end exponent
10^-10 = 1/10¹⁰ = 0.0000000001
d. 1 over 10
1/10 = 0.1
Since we know that probability is always a number between 0 and 1, the only option that does not satisfy this condition is option b i.e. 10 because it is greater than 1.
FINAL ANSWER-
Option 'b' i.e. '10' is the correct answer to the given question.

Here, we need to find the probability of a certain event.
A certain event is an event which is sure to happen. The probability of an event is 1 if the number of favourable outcome is equal to the number of total outcomes.
This means that there js 100 percent chance that the event will take place.
Hence, the correct option is (b).

Here, we have to find the probability of getting tails when a coin is tossed.
Possible outcomes are Head (H) and tail (T) i.e (H, T)
Total number of outcomes = 2
Number of favourable outcome = Number of tail = 1
Therefore, P(getting tail) = 1/2
Hence, the correct option is (b).

Here, we have to select the correct option.
A deck of cards has a total of 52 cards.
Hence, the correct option is (a).

Here, we have to find the probability of getting a head on tossing a coin.
When a coin is tossed, outcomes are Head and Tail.
Total number of outcomes = 1
Number of favourable outcome = Number of Head = 1
Therefore, P ( Head) = 1/2
Hence, the correct option is (a)