If A and B are independent events with P(A) = 0.7 and P(B) = 0.8, then P(A∪B) = .................... .
0.94
Use the addition rule: P(A∪B) = P(A) + P(B) - P(A∩B).
For independent events P(A∩B) = P(A) x P(B) = 0.7 x 0.8 = 0.56.
So P(A∪B) = 0.7 + 0.8 - 0.56 = 1.5 - 0.56 = 0.94.
Alternatively, P(A∪B) = 1 - P(neither) = 1 - (0.3 x 0.2) = 1 - 0.06 = 0.94. Hence, the answer is 0.94.
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Important Questions from Probability
- If one event is unaffected by the outcome of another event, the two events are said to be:
1. Dependent
2. Independent
3. Mutually exclusive
4. Mutually inclusive - Let $M$ be a randomly chosen non-empty subset of $S = \{1, 2, 3, \dots, 2026\}$.
Which of the following is the probability that the product of all the elements of $M$ is even? - A fair coin is tossed 6 times. The probability of getting at least 5 heads is _________________. (rounded off to two decimal places)
- Consider a random experiment of rolling a fair die. The probability of getting an odd number or a number less than 4 is ______ (Rounded off to two decimal places).
- In a null hypothesis significance test, the significance level $\alpha$ was set to 0.01. For which one or more of the following $p$ values would the null hypothesis be rejected?
