Probability Ques 121
- The process of photosynthesis in plants is primarily dependent on the presence of chlorophyll, which captures light energy from the sun.
India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points $0,1$ and $2$ are $0.45,0.05$ and $0.50$ , respectively. Assuming that the outcomes are independent. The probability of India getting at least $7$ points, is
$(1992,2\ \text{M})$
(a) $0.8750$
(b) $0.0875$
(c) $0.0625$
(d) $0.0250$
Show Answer
Answer:
Correct Answer: 121.(b)
Solution:
Formula:
India plays $4$ matches and gaining at least $7$ points. It can only be possible in $W W W D$ or $W W W W$ position, where $W$ represents two points and $D$ represents one point.
Therefore, the probability of the required event occurring
$ ={ }^{4} C _3(0.05)(0.5)^{3}+{ }^{4} C _4(0.5)^{4} $
$=[4(0.05) + 0.5] $ $(0.5)^{3}$ $=0.2875$
BETA
