In this page probability worksheet solution2 we are going to see solution of some practice questions of the probability worksheet.

**Question 4**

Three rotten eggs are mixed with 12 good ones. One egg is chosen at random. What is the probability of choosing a rotten egg?

**Solution:**

Number of good eggs = 12

Number of rotten egg = 3

So, total number of eggs = 12 + 3

= 15

Sample space n(s) = 15

Let A be the event of getting rotten egg

n(A) = 3

Probability of getting rotten egg = n(A)/n(S)

= 3/15

= 1/5

**Therefore the probability of getting rotten egg is 1/5**

**Question 5**

Two coins are tossed together. What is the probability of getting at most one head?

**Solution:**

In tossing a coin twice, the sample space

S = {H H, H T, T H, T T}

n(S) = 4

Let A be the event of getting at most one head

A = {H T, T H, T T}

n(A) = 3

Probability of getting at most one head

P(A) = n(A)/n(S)

P(A) = 3/4

**Therefore the probability of getting at most one head is 3/4**

**Question 6**

One card is drawn randomly from a well shuffled deck of 52 playing cards. Find the probability that the drawn card is

(i) a diamond

(ii) not a diamond

(iii) not an ace

**Solution:**

Sample space n(S) = 52

(i)Let A be event of getting a diamond

n(A) = 13

Probability of getting a diamond card, P(A) = n (A)/n(S)

= 13/52

P(A) = 1/4

(ii)Let B be event of getting not a diamond card

n (B) = 39

Probability of getting not a diamond card P(B) = n (B)/n(S)

= 39/52

P(B) = 3/4

(iii)Let C be event of getting not an ace card

n (C) = 4

Probability of getting not an ace card P(C) = n (C)/n(S)

= 4/52

P(C) = 1/13

**(i) Probability of getting a diamond card, P(A)= 1/4**

**(ii) Probability of getting not a diamond card P(B)= 3/4**

**(iii) Probability of getting not an ace card P(C) = 1/13**

probability worksheet solution2 probability worksheet solution2

- History of statistics.
- Branches of statistics.
- Uses of statistics.
- Collection of statistical data
- classification of data
- Tabulation of data
- Construction of statistical table
- Arithmetic mean
- Geometric mean
- Harmonic mean
- Median
- Mode
- Quartiles