A die is loaded in such a way that each odd number is twice as likely to occur as each even number. Then P(G), when G is the event that a number greater than 3 occurs on a single roll of the die, is ldots K . .. Here, K refers to

Question

A die is loaded in such a way that each odd number is twice as likely to occur as each even number. Then P(G), when G is the event that a number greater than 3 occurs on a single roll of the die, is ldots K . .. Here, K refers to (A) (4/5) (B) (5/7) (C) (2/3) (D) (4/9)

Tardigrade Admin · Accepted Answer

Given that, probability of each odd number is twice as likely to occur as each even number i.e.,

P (O) = 2 P (E)

When a die is rolled, then the sample is

S

Now,

S = {1, 2, 3, 4, 5, 6}

P (O) = \frac{4}{6} = \frac{2}{3}

i.e.,

P (F) = \frac{1}{2} (\frac{2}{3}) = \frac{2}{6} = \frac{1}{3}

Now,

G

is the event greater than 3

∴

Number are

4, 5, 6

P (G) = 2 \cdot P (E) \cdot P (O)

= 2 (\frac{1}{3}) (\frac{2}{3}) = \frac{4}{9}

Q. A die is loaded in such a way that each odd number is twice as likely to occur as each even number. Then $P (G)$ , when $G$ is the event that a number greater than 3 occurs on a single roll of the die, is $\dots K ..$ . Here, $K$ refers to

$\frac{4}{5}$

$\frac{5}{7}$

$\frac{2}{3}$

$\frac{4}{9}$

Q. A die is loaded in such a way that each odd number is twice as likely to occur as each even number. Then P(G), when G is the event that a number greater than 3 occurs on a single roll of the die, is …K... Here, K refers to

54​

75​

32​

94​

Q. A die is loaded in such a way that each odd number is twice as likely to occur as each even number. Then $P (G)$ , when $G$ is the event that a number greater than 3 occurs on a single roll of the die, is $\dots K ..$ . Here, $K$ refers to

$\frac{4}{5}$

$\frac{5}{7}$

$\frac{2}{3}$

$\frac{4}{9}$