CUET Mathematics - Consider an experiment of tossing 3 coins simultaneously. Define the following events: E = [Three heads or three tails appear] F = [At least two heads appear] and G = [At most two heads appear] Choose the correct option: | PYQs + Solutions

CUET Mathematics 2022 23 Aug Shift 1

Algebra

Hard

E and G are independent events

E and F are independent events

F and G are independent events

E and F are dependent events

✅ Correct Option: 2

Related questions:

26 May Shift 2

If the random variable X has the following probability distribution:

X	0	1	2	otherwise
P(X)	k	3k	5k	0

Match List-I with List-II

List-I	List-II
(A) k	(I) $\frac{13}{9}$
(B) E (X)	(II) $\frac{4}{9}$
(C) P (X ≤ 1)	(III) $\frac{8}{9}$
(D) P (1 ≤ X ≤ 2)	(IV) $\frac{1}{9}$

Choose the correct answer from the options given below:

(A) - (II), (B) - (I), (C) - (IV), (D) - (III)
(A) - (IV), (B) - (I), (C) - (II), (D) - (III)
(A) - (IV), (B) - (II), (C) - (I), (D) - (III)
(A) - (III), (B) - (II), (C) - (I), (D) - (IV)

7 Aug Shift 2

A shopkeeper sells three types of flower seeds $A_1, A_2, A_3$ . They are sold as a mixture where the proportions are 4 : 4 : 2 respectively. The germination rates of the three types of seeds are 45%, 60% and 35% respectively. Calculate the probability in the following cases.

The probability of a randomly chosen seed to germinate is :

30 Aug Shift 1

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

CUET Mathematics 2022 23 Aug Shift 1 PYQs

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