Probability Test

Result

Probability Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

Two coins are tossed simultaneously. Then, the probability of getting at most one head is

A
3/4

B
2/3

C
1/4

D
1/3

Solution

Let E = event of getting atmost 1 head. Then,
E = {TH, HT, HH} and, therefore, n(E) = 3.
Therefore, P(getting atmost 1 head) = P(E) = n(E)/n(S) = ¾.
Question 2
1 / -0

Which of the following cannot be the empirical probability of an event ?

A
1

B
0

C
3/2

D
2/3

Solution

The empirical probability of an event cannot be greater than 1 and the value of 3/2 is1.5.
Question 3
1 / -0

A standard deck of 52 cards is shuffled. One card is drawn at random. The probability that the card is red or an ace is

A
1/13

B
5/13

C
2/13

D
7/13

Solution

Total number of card in a pack of well-shuffled cards = 52

Number of red cards (including two aces) = 26

Number of black aces = 2

Total number of red cards and black aces = 26 +2 = 28

The probability that the card is red or an ace = 28 / 52 = 7 / 13
Question 4
1 / -0

A fair die is rolled. Then, the probability of not rolling a number less than 5 is

A
2/3

B
1/3

C
1/5

D
2/5

Solution

Total number of outcomes = 6

Chances of getting numbers less than 5 = 4 (1,2,3 and 4)

Chances of not getting numbers less than 5 = 6 - 4 = 2 (5, 6)

The probability of not rolling a number less than 5 = 2 / 6 = 1 / 3
Question 5
1 / -0

One card is drawn from a well-shuffled deck of 52 cards. The probability of drawing an ace is

A
1/26

B
4/13

C
1/52

D
1/13

Solution

In a deck of playing cards, there are 52 cards.Therefore, the total number of possible outcomes = 52

Total number of aces = 4

Number of favourable outcomes = 4

The probability of drawing an ace = 4/52 = 1/13
Question 6
1 / -0

1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If Ruchi purchased one lottery ticket, the probability of winning a prize is

A
1/200

B
1/300

C
1/100

D
None of these

Solution

Number of possible outcomes = 1000

Possibility of getting a prize = 5

Probability of winning a prize = 5 / 1000 = 1 / 200
Question 7
1 / -0

A die is thrown once. The probability of getting a number 3 or 4 is

A
1/3

B
1

C
0

D
2/3

Solution

Number of possible outcomes = 6

Possibility of getting 3 or 4 = 2

Probability of getting a number 3 or 4 = 2 / 6 = 1 / 3
Question 8
1 / -0

A die is thrown once. The probability of getting a number greater than 3 is

A
1/2

B
0

C
1/3

D
2/3

Solution

Total number of outcomes = 6

Numbers greater than 3 = 3 (4, 5, 6)

The probability of getting a number greater than 3 = 3 / 6 = 1 / 2
Question 9
1 / -0

Two coins are tossed simultaneously. The probability of getting at least one head is

A
1/4

B
1/2

C
3/4

D
0

Solution

Let E = event of getting at least 1 head. Then,
E = {HT, TH, HH} and, therefore, n(E) = 3.
Therefore, P(getting at least 1 head) = P(E) = n(E)/n(S) = ¾.

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Re-Attempt Weekly Quiz Competition

Probability Test - 5

Result

Probability Test - 5

Score

-

Rank

-

SHARING IS CARING

Question 1

3/4

2/3

1/4

1/3

Solution

Question 2

1

0

3/2

2/3

Solution

Question 3

1/13

5/13

2/13

7/13

Solution

Question 4

2/3

1/3

1/5

2/5

Solution

Question 5

1/26

4/13

1/52

1/13

Solution

Question 6

1/200

1/300

1/100

None of these

Solution

Question 7

1/3

1

0

2/3

Solution

Question 8

1/2

0

1/3

2/3

Solution

Question 9

1/4

1/2

3/4

0

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

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