1
WB JEE 2019
+1
-0.25
A problem in mathematics is given to 4 students whose chances of solving individually are $${{1 \over 2}}$$, $${{1 \over 3}}$$, $${{1 \over 4}}$$ and $${{1 \over 5}}$$. The probability that the problem will be solved at least by one student is
A
$${{2 \over 3}}$$
B
$${{3 \over 5}}$$
C
$${{4 \over 5}}$$
D
$${{3 \over 4}}$$
2
WB JEE 2019
+1
-0.25
If X is a random variable such that $$\sigma$$(X) = 2.6, then $$\sigma$$(1 $$-$$ 4X) is equal to
A
7.8
B
$$-$$ 10.4
C
13
D
10.4
3
WB JEE 2018
+1
-0.25
In order to get a head at least once with probability $$\ge$$ 0.9, the minimum number of times a unbiased coin needs to be tossed is
A
3
B
4
C
5
D
6
4
WB JEE 2018
+1
-0.25
A student appears for tests I, II and III. The student is successful if he passes in tests I, II or I, III. The probabilities of the student passing in tests I, II and III are respectively p, q and 1/2. If the probability of the student to be successful is 1/2. Then
A
p (1 + q) = 1
B
q (1 + p) = 1
C
pq = 1
D
$${1 \over p} + {1 \over q} = 1$$
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