Two dice are thrown simultaneously to get the co-ordinates on x - y plane. Then the probability that this point lies inside or on the region bounded by , is:

Question

Two dice are thrown simultaneously to get the co-ordinates on $x - y$ plane. Then the probability that this point lies inside or on the region bounded by $| x |$ $+$ $| y |$ $= 3$ , is:

Smart Achievers · Accepted Answer

(3)

$favorable points \to (1, 1) (1, 2) (2, 1)$

$Prob. = \frac{3}{26} = \frac{1}{12}$

Solution

Q.
Two dice are thrown simultaneously to get the co-ordinates on $x - y$ plane. Then the probability that this point lies inside or on the region bounded by $| x |$ $+$ $| y |$ $= 3$ , is:

1 $\frac{3}{14}$

2 $\frac{2}{3}$

3 $\frac{1}{12}$

4 $\frac{4}{14}$

Ans.
(3)

$favorable points \to (1, 1) (1, 2) (2, 1)$

$Prob. = \frac{3}{26} = \frac{1}{12}$

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Solution

Q. Two dice are thrown simultaneously to get the co-ordinates on x-y plane. Then the probability that this point lies inside or on the region bounded by |x|+|y|=3, is:

1 314

2 23

3 112

4 414

Ans. (3) favorable points →(1,1) (1,2) (2,1) Prob.=326=112