a die and two coins are tossed. the probability that both the coins show heads and die shows 1 or 2, is
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Answer:
1 / 12
Step-by-step explanation:
Recall:
P(a AND b) = P(a) × P(b), for independent events a and b.
So...
P( 1st coin shows H AND 2nd coin shows H AND die shows 1 or 2 )
= P(1st coin shows H ) × P(2nd coin shows H) × P(die shows 1 or 2)
= 1/2 × 1/2 × 2/6
= 1/2 × 1/2 × 1/3
= 1 / 12
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