Mathematics Test 92

Result

Mathematics Test 92

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Weekly Quiz Competition

Question 1
4 / -1

A coin whose face are marked 2 and 3 is thrown 5 times. Then the probability of obtaining a total of 12 is :

A
5/16

B
5/8

C
1/32

D
5/32

Solution

Total = 2 × 2 × 2 × 2 = 32

Favourable = coff. of x¹² in (x² + x³)⁵

coeff. of x¹² in x¹⁰ (1 + x)⁵

coeff. in x¹² in x¹⁰

[1 + 5x + 10x² + 10x³ + 5x⁴ + x⁵]

= ............. + x¹² (10) + .................

∴ Favourable = 10

∴ Probability = 10/32 = 5/16
Question 2
4 / -1

A bag contains 16 coins of which two are counter feet with heads on both sides, the rest are fair coins. One is selected at random from the bag and tossed, then the probability of getting a head is

A
9/16

B
11/16

C
5/9

D
3/4

Solution

P(Head) = P (Fair head) + P(Unfair head)

= 14/16 x 1/2 + 2/16 x 1= 9/16