Algebra

Probability

Medium

common

A die is thrown thrice. If the first throw is a four, then the chance of getting 11 as total sum, is

$\frac{6}{216}$

$\frac{1}{216}$

$\frac{1}{6}$

$\frac{7}{36}$

✅ Correct Option: 3

Given the first die shows 4, the remaining two throws must total 7. Ordered pairs summing to 7 number 6 out of 36 equally likely pairs, so the required probability is $\frac{6}{36}=\frac{1}{6}$ .

2026: 25 May Shift 1

A four digit number is formed by using the digits 1, 2, 4 and 5 with no repetition. The probability that the number is divisible by 5, is

2026: 31 May Shift 2

In a factory of fans, machine A, B and C manufacture respectively 20%, 40% and 40% of total fans. Out of their output 2, 3 and 5 percent are defective fans respectively. A fan is drawn at random from the products then the probability that the drawn fan is defective is:

2026: 22 May Shift 2

Five bad apples are mixed with 15 good apples accidently. Let the random variable X be the number of bad apples in a draw of two apples, then mean of X is

2025: 16 May Shift 1

A random variable X has the following probability distribution

X	0	1	2	3	4	5
P(X)	0.1	k	0.2	2k	0.3	k

Then P (X < 3) is

2025: 3 June Shift 1

A random variable X has the following probability distribution:

X	2	3	4	5
P(X)	5/k	7/k	9/k	11/k

Then the value of $\frac{k}{4}$ is:

2022: 30 Aug Shift 1

The probability that B alone complete the task on time is:

A die is thrown thrice. If the first throw is a four, then the chance of getting 11 as total sum, is

Solution

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