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

Question

Infinity Learn · Accepted Answer

$$P(at$$ least $$7$$ $$points)$$ $$=$$ $$P(7$$ $$points)$$ $$+$$ $$P(8$$ $$points)$$['.' at most $$8$$ points can be scored]Now, $$7$$ points can be scored by scoring $$2$$ points in $$3$$ matches and $$1$$ point in one match. Similarly, $$8$$ points can be scored byscoring $$2$$ points in each of $$4$$ matches. Therefore, the required probability is $$4C1$$×[$$P(2$$ points $$)$$]$$3P(1$$ point $$)+$$[$$P(2$$ points $$)$$]$$4=4(0.5)3$$×$$0.05+(0.50)4=0.0250+0.0625=0.0875$$

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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

India plays two matches each with West Indies and Australia. In any match, the probabilities of India gettingpoints 0, 1 and 2 are 0.45, 0.05 and 0.50, respectively. Assuming that the outcomes are independent, the probabilityof India getting at least 7 points is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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