Probability Test

Result

Probability Test - 6

Score
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Weekly Quiz Competition

Question 1
1 / -0

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, 0.5 and 0.5 respectively. Assuming that the outcomes are independent, the probability of India getting atleast 7 points is

A
0.8750

B
0.0250

C
0.0625

D
0.0856

Solution

P(India gets at least 7points)=P(India wins 3 matches and draws exactly one of the four matches)=⁴C₃(0.5)³(0.05) = 0.0250
Question 2
1 / -0

An unbiased dice is rolled four times. The probability that the minimum number on any toss is not less than 3 is

A
65/81

B
16/81

C
1/81

D
80/81

Solution

Probability that the outcome of a single throw of a die is any one of 4, 3, 4, 5 and 5 is equal to 4/6=2/3 of the die is rolled four times, the required probability is equal to (23)⁴=16/81