Probability 1 (original) (raw)

What is the probability of getting a sum of 9 from two throws of a dice?

Let f(x) be the continuous probability density function of a random variable x, the probability that a < x ≤ b, is

• [Tex]P(a < x \leq b) = \int_{a}^{b} f(x) \, dx[/Tex]
• [Tex]P(a < x \leq b) = \int_{a}^{b} xf(x) \, dx[/Tex]

What is the probability that a randomly selected bit string of length 10 is a palindrome?

What is the probability of 3 students sharing a birthday in a class of 30 students is ________ .

Four different pens (1, 2, 3, 4) are to be distributed at random in four pen stands marked as 1, 2, 3, 4. What is the probability that none of the pen occupies the place corresponding to its number ?

A box contains 5 green, 4 yellow and 3 white balls. Three balls are drawn at random. What is the probability that they are not of the same color?

Two cards are drawn together from a pack of 52 cards. What is the probability that one is a spade and one is a heart?

From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

A number p is chosen at random from the numbers [-3, 3]. What is the probability that value of p < 2

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