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Statistics 1 Marks Each

PART 2 : PROBABILITY · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 26 questions.

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26 questions · timed · auto-graded

Question 11 Mark
According to the mathematical definition of probability, what is the probability of each outcome out of $n$ outcomes of a random experiment?
Answer
સ્વપ્રયત્ન
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Question 91 Mark
A multistoryed building has total eleven floors including a ground floor. A lift is functional for commuting persons to all the floors. A person enters in the lift on the ground floor. Find the probability that the person comes out from the lift on the fifth floor.
Answer
સ્વપ્રયત્ન સ્વપ્રયત્ન
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Question 101 Mark
For independent events $A$ and $B, P(A)=0.4$ and $P(B)=0.45$. Find $P\left(A^{\prime} \cap B^{\prime}\right)$.
Answer
. $\frac{1}{10}$
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Question 111 Mark
For two events $A$ and $B$ of a sample space, is it possible that $P(A)=\frac{2}{3}$ and $P(A \cup B)=\frac{1}{3}$ ? Give the reason.
Answer
$0.33$
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Question 121 Mark
Write the formula for finding the probability of occurrence of at least one event out of three events $A, B$ and $C$ of a random experiment.
Answer
Not possible; as it should be $P(A \cup B)>P(A)$.
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Question 131 Mark
Interprete $P(B / A)$.
Answer
$P(A \cap B \cup C)=P(A)+P(B)+P(C)-P(A \cap B)-P(A \cap C)-P(B \cap C)+P(A \cap B \cap C)$
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Question 141 Mark
$\text { Arrange } P(A \cap B), 0, P(A), P(A)+P(B), P(A \cup B) \text { in an ascending order. }$
Answer
The probability of occurrence of event $B$ under the condition that event $A$ has occured.
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Question 151 Mark
1 Draw Venn diagram of the difference event $B-A$ of two events $B$ and $A$.
Answer
$0, P(A \cap B), P(A), P(A \cup B), P(A)+P(B)$
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Question 171 Mark
For two independent events $A$ and $B, P(B)=\frac{2}{3}$ and $P(A \cap B)=\frac{1}{9}$. Find $P(A)$.
Answer
$\frac{1}{6}$
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Question 181 Mark
$3 \%$ units are defective in a lot. What is the probability that one unit randomly selected from this is non-defective ?
Answer
$0.97$
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Question 191 Mark
For two mutually exclusive events $A$ and $B, P(A)=0.7$ and $P\left(B^{\prime}\right)=0.9$. Find $P(A \cup B)$.
Answer
$0.8$
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Question 201 Mark
If $A$ and $B$ are independent events of a sample space write the formula of $P(A \cap B)$
Answer
$P(A \cap B)=P(A) \times P(B)$
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Question 211 Mark
State the number of elementafa samply spage associated $\Theta$ Path the experiment of throwing two unbiased coins and a fair
Answer
$24$
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Question 231 Mark
Write the sample space of marks obtained by students in an examination of $50$ marks.
Answer
$U=\{0,1,2, \ldots, 50\}$
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Question 241 Mark
Write the formula for finding probability of occurrence of at least one event out of the given events $A$ and $B$
Answer
$\quad P(A \cup B)=P(A)+P(B)-P(A \cap B)$
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Question 251 Mark
When are three events $A, B$ and $C$ of a sample space said to be exhaustive ?
Answer
$A \cup B \cup C=U$
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