Chapter 7
The Mathematics of Maybe: Introduction to Probability
CBSE Class 9
Mathematics Solutions
Educart Mathematics class Class 9 NCERT Exemplar cover
Question:

Which of the following experiments have equally likely outcomes? Explain.

(A) A driver attempts to start a car. The car starts or does not start.

(B) Tossing a fair coin once.

(C) Rolling a fair 6-sided die.

(D) Choosing a marble randomly from a bag that contains 3 red marbles and 7 blue marbles.

(E) A baby is born. It is a boy or a girl.

Answer: Verified

(A) Not equally likely.

The car is designed to start, so normally P(starts) is much higher than P(does not start).

The two outcomes are not equally likely.

(B) Equally likely.

Heads and tails each have probability 12\frac{1}{2}.

(C) Equally likely.

Each of the 6 faces has probability 16\frac{1}{6}.

(D) Not equally likely. Two colour-outcomes:

P(red)=310 and P(blue)=710P(\text{red}) = \frac{3}{10} \text{ and } P(\text{blue}) = \frac{7}{10}

(E) Equally likely.

The biological ratio is close to 1 : 1, so for most purposes we treat it as equally likely = 12\frac{1}{2}.

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