For a biased die the probabilities for different faces to turn up… - Vidyadip

MCQ

For a biased die the probabilities for different faces to turn up are given below

$Face:$	$1$	$2$	$3$	$4$	$5$	$6$
$Probability:$	$0.1$	$0.32$	$0.21$	$0.15$	$0.05$	$0.17$

The die is tossed and you are told that either face $1$ or $2$ has turned up. Then the probability that it is face $1$, is

✓
$\frac{5}{{21}}$
B
$\frac{5}{{22}}$
C
$\frac{4}{{21}}$
D
None of these

✓

Answer

Correct option: A.

$\frac{5}{{21}}$

a
(a) Required probability $ = \frac{{0.1}}{{0.1 + 0.32}} = \frac{{0.1}}{{0.42}} = \frac{5}{{21}}.$

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