Probability Test

Result

Probability Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

In a box, there are 5 red, 9 green and 6 black balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

A
1/4

B
3/7

C
7/10

D
3/10

Solution

Total number of balls = 5 + 9 + 6 = 20
E = event that the ball drawn is neither red nor green = event that the ball drawn is black = 6

Therefore, P(E) = 6/20 = 3/10
Question 2
1 / -0

In a box, there are 5 Nestle and 18 Dairy Milk chocolates. Mohan picks up a chocolate without looking at it. What is the probability that it will be a Nestle chocolate?

A
5/23

B
18/23

C
8/23

D
5/18

Solution

Number of Nestle chocolates = 5
Number of Dairy Milk chocolates = 18
Total number of chocolates = 18 + 5 = 23

Probability that a picked up chocolate is Nestle = 5/23
Question 3
1 / -0

A card is drawn from a pack of 52 cards. What is the probability of getting a non-face card or an ace card?

A
1/13

B
11/13

C
9/13

D
10/13

Solution

There are 40 non-face cards and 4 ace cards which are already counted in non face cards.
So, the total number of favourable cases are 40.
Required Probability = 40/52 = 10/13
Question 4
1 / -0

Suresh throws 2 dice simultaneously. What is the probability of getting two numbers whose product is odd?

A
5/36

B
1/6

C
1/4

D
1/2

Solution

In a two dice throw, the total number of cases are 36 i.e., n(S) = 36

Let E be the event of getting two numbers whose product is odd.
Then, E = {(1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5)}
n(E) = 9

So, probability = 9/36 = 1/4
Question 5
1 / -0

From a deck of playing cards, one card is removed randomly & found to be a Jack of hearts. Then a second card is drawn without replacing the first one. What is the probability of getting a second card as a Jack of red colour?

A
1/52

B
1/51

C
11/52

D
13/51

Solution

The first card is a jack of red colour.

On the second turn, there is only one remaining Jack card of red colour (Jack of diamond) &
total no. of remaining cards is 51.

So, probability = 1/51