Probability Test

Result

Probability Test - 1

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Question 1
1 / -0

Tickets numbered from 1 to 25 are mixed up together and a ticket is drawn at random. What is the probability that the ticket drawn contains a prime number?2/5

A
2/5

B
7/25

C
9/25

D
11/25

Solution

Favourable cases = 2, 3, 5, 7, 11, 13, 17, 19, 23 = 9 cases

Total number of cases = 25
Question 2
1 / -0

The probability that a leap year selected at random will contain 53 Sundays is

A
1/7

B
2/7

C
7/366

D
26/183

Solution

Leap years have 366 days.
366/7 = 52, remainder = 2

52 weeks are there = 52 Sundays + 2 days extra
The 2 extra days can be Sunday and Monday, Monday and Tueday, Tuesday and Wednesday, Wednesday and Thursday, Thursday and Friday, Friday and Saturday or Saturday and Sunday.

Thus, we have 7 possible combinations of which 2 combinations have a Sunday.
Thus, the required probability is 2/7.
Question 3
1 / -0

A card is drawn at random from a pack of 52 cards. The probability of getting a red card or an ace is

A
1/3

B
1/2

C
15/26

D
7/13
Question 4
1 / -0

A pair of dice is thrown and the numbers appearing have a sum greater than or equal to 10. The probability of getting a sum of 11 is

A
1/6

B
1/4

C
1/2

D
1/3

Solution

Total number of possible cases = (4, 6) (5, 5) (6, 4) (6, 6) (5, 6) (6, 5) = 6

Favourable events = 2

Required Probability = 2/6 = 1/3